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2123481888 = 2532115312647
BaseRepresentation
bin111111010010001…
…1100001100100000
312110222201001112100
41332210130030200
513322102410023
6550413330400
7103423204203
oct17644341440
95428631470
102123481888
1199a717410
124b3196a00
1327ac20078
1416203d93a
15c6654c43
hex7e91c320

2123481888 has 144 divisors (see below), whose sum is σ = 6712445376. Its totient is φ = 631288320.

The previous prime is 2123481863. The next prime is 2123481929. The reversal of 2123481888 is 8881843212.

It is a happy number.

2123481888 is a `hidden beast` number, since 212 + 348 + 18 + 88 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161581 + ... + 174227.

It is an arithmetic number, because the mean of its divisors is an integer number (46614204).

Almost surely, 22123481888 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 2123481888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356222688).

2123481888 is an abundant number, since it is smaller than the sum of its proper divisors (4588963488).

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

2123481888 is a wasteful number, since it uses less digits than its factorization.

2123481888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12727 (or 12716 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 2123481888 is about 46081.2531079614. The cubic root of 2123481888 is about 1285.3345660455.

The spelling of 2123481888 in words is "two billion, one hundred twenty-three million, four hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 288 318 352 396 424 477 528 583 636 792 848 954 1056 1166 1272 1584 1696 1749 1908 2332 2544 3168 3498 3816 4664 5088 5247 6996 7632 9328 10494 12647 13992 15264 18656 20988 25294 27984 37941 41976 50588 55968 75882 83952 101176 113823 139117 151764 167904 202352 227646 278234 303528 404704 417351 455292 556468 607056 670291 834702 910584 1112936 1214112 1252053 1340582 1669404 1821168 2010873 2225872 2504106 2681164 3338808 3642336 4021746 4451744 5008212 5362328 6032619 6677616 7373201 8043492 10016424 10724656 12065238 13355232 14746402 16086984 20032848 21449312 22119603 24130476 29492804 32173968 40065696 44239206 48260952 58985608 64347936 66358809 88478412 96521904 117971216 132717618 176956824 193043808 235942432 265435236 353913648 530870472 707827296 1061740944 2123481888