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1870661664 = 2532471131223
BaseRepresentation
bin110111110000000…
…0000100000100000
311211100222110101100
41233200000200200
512312342133124
6505342434400
764233235044
oct15740004040
94740873340
101870661664
1187aa37883
12442592a00
1323a730ac1
1413a62c024
15ae3651c9
hex6f800820

1870661664 has 144 divisors (see below), whose sum is σ = 5485439232. Its totient is φ = 604391424.

The previous prime is 1870661627. The next prime is 1870661669. The reversal of 1870661664 is 4661660781.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×18706616642 = 6998750122318497792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1870661669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528957 + ... + 1530179.

It is an arithmetic number, because the mean of its divisors is an integer number (38093328).

Almost surely, 21870661664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1870661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742719616).

1870661664 is an abundant number, since it is smaller than the sum of its proper divisors (3614777568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1870661664 is a wasteful number, since it uses less digits than its factorization.

1870661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1870661664 is about 43251.1463894311. The cubic root of 1870661664 is about 1232.1542576848.

The spelling of 1870661664 in words is "one billion, eight hundred seventy million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 113 141 144 188 226 282 288 339 376 423 452 564 678 752 846 904 1017 1128 1223 1356 1504 1692 1808 2034 2256 2446 2712 3384 3616 3669 4068 4512 4892 5311 5424 6768 7338 8136 9784 10622 10848 11007 13536 14676 15933 16272 19568 21244 22014 29352 31866 32544 39136 42488 44028 47799 57481 58704 63732 84976 88056 95598 114962 117408 127464 138199 169952 172443 176112 191196 229924 254928 276398 344886 352224 382392 414597 459848 509856 517329 552796 689772 764784 829194 919696 1034658 1105592 1243791 1379544 1529568 1658388 1839392 2069316 2211184 2487582 2759088 3316776 4138632 4422368 4975164 5518176 6495353 6633552 8277264 9950328 12990706 13267104 16554528 19486059 19900656 25981412 38972118 39801312 51962824 58458177 77944236 103925648 116916354 155888472 207851296 233832708 311776944 467665416 623553888 935330832 1870661664