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6401605356 = 2232414337131
BaseRepresentation
bin1011111011001000…
…01011111011101100
3121112010202020122200
411331210023323230
5101102302332411
62535120341500
7314431514316
oct57544137354
917463666580
106401605356
1127955a2943
1212a7a74890
137b034cc83
1444a2b07b6
15277016e56
hex17d90beec

6401605356 has 36 divisors (see below), whose sum is σ = 16576518504. Its totient is φ = 2081822400.

The previous prime is 6401605339. The next prime is 6401605361. The reversal of 6401605356 is 6535061046.

6401605356 is a `hidden beast` number, since 6 + 40 + 1 + 605 + 3 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×64016053562 = 81961102267935773472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6401605356.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2167090 + ... + 2170041.

Almost surely, 26401605356 is an apocalyptic number.

It is an amenable number.

6401605356 is an abundant number, since it is smaller than the sum of its proper divisors (10174913148).

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

6401605356 is a wasteful number, since it uses less digits than its factorization.

6401605356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337182 (or 4337177 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6401605356 is about 80010.0328458875. The cubic root of 6401605356 is about 1856.7907580189.

The spelling of 6401605356 in words is "six billion, four hundred one million, six hundred five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 4337131 8674262 13011393 17348524 26022786 39034179 52045572 78068358 156136716 177822371 355644742 533467113 711289484 1066934226 1600401339 2133868452 3200802678 6401605356