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87955811904 = 2636716341947
BaseRepresentation
bin101000111101010010…
…0110010111001000000
322102000210101012020010
41101322210302321000
52420113141440104
6104223434144520
76232425031332
oct1217244627100
9272023335203
1087955811904
1134335843344
1215068282140
1383a947601c
14438561d452
15244bb8b489
hex147a932e40

87955811904 has 112 divisors (see below), whose sum is σ = 237644480768. Its totient is φ = 28703144448.

The previous prime is 87955811887. The next prime is 87955811917. The reversal of 87955811904 is 40911855978.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075859 + ... + 2117805.

Almost surely, 287955811904 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 87955811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118822240384).

87955811904 is an abundant number, since it is smaller than the sum of its proper divisors (149688668864).

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

87955811904 is a wasteful number, since it uses less digits than its factorization.

87955811904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42192 (or 42182 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 57.

The spelling of 87955811904 in words is "eighty-seven billion, nine hundred fifty-five million, eight hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 163 192 201 268 326 402 489 536 652 804 978 1072 1304 1608 1956 2144 2608 3216 3912 4288 5216 6432 7824 10432 10921 12864 15648 21842 31296 32763 41947 43684 65526 83894 87368 125841 131052 167788 174736 251682 262104 335576 349472 503364 524208 671152 698944 1006728 1048416 1342304 2013456 2096832 2684608 2810449 4026912 5620898 6837361 8053824 8431347 11241796 13674722 16862694 20512083 22483592 27349444 33725388 41024166 44967184 54698888 67450776 82048332 89934368 109397776 134901552 164096664 179868736 218795552 269803104 328193328 437591104 458103187 539606208 656386656 916206374 1312773312 1374309561 1832412748 2748619122 3664825496 5497238244 7329650992 10994476488 14659301984 21988952976 29318603968 43977905952 87955811904