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8455981352 = 2372133153527
BaseRepresentation
bin1111110000000010…
…00000100100101000
3210211022102100201112
413320001000210220
5114304212400402
63515025005452
7416355440600
oct77001004450
923738370645
108455981352
11364a1a9a45
12177ba83888
13a49b55480
145a3081c00
1534756ae52
hex1f8040928

8455981352 has 96 divisors (see below), whose sum is σ = 20503365120. Its totient is φ = 3237252480.

The previous prime is 8455981333. The next prime is 8455981363. The reversal of 8455981352 is 2531895548.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8455981352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131213 + ... + 184739.

It is an arithmetic number, because the mean of its divisors is an integer number (213576720).

Almost surely, 28455981352 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 8455981352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251682560).

8455981352 is an abundant number, since it is smaller than the sum of its proper divisors (12047383768).

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

8455981352 is a wasteful number, since it uses less digits than its factorization.

8455981352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53591 (or 53580 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 50.

The square root of 8455981352 is about 91956.4100647693. The cubic root of 8455981352 is about 2037.2985316847.

The spelling of 8455981352 in words is "eight billion, four hundred fifty-five million, nine hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 637 728 806 868 1274 1519 1612 1736 2548 2821 3038 3224 5096 5642 6076 11284 12152 19747 22568 39494 53527 78988 107054 157976 214108 374689 428216 695851 749378 1391702 1498756 1659337 2622823 2783404 2997512 3318674 4870957 5245646 5566808 6637348 9741914 10491292 11615359 13274696 19483828 20982584 21571381 23230718 34096699 38967656 43142762 46461436 68193398 81307513 86285524 92922872 136386796 150999667 162615026 172571048 272773592 301999334 325230052 603998668 650460104 1056997669 1207997336 2113995338 4227990676 8455981352