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45400396896 = 25321213129959
BaseRepresentation
bin101010010010000100…
…110001010001100000
311100012000212010100100
4222102010301101200
51220440000200041
632505012022400
73165031002111
oct522204612140
9140160763310
1045400396896
1118288382178
128970601a00
134386b6129a
1422a98d8208
1512aab7e6b6
hexa92131460

45400396896 has 72 divisors (see below), whose sum is σ = 129214809360. Its totient is φ = 15120873216.

The previous prime is 45400396889. The next prime is 45400396897. The reversal of 45400396896 is 69869300454.

45400396896 is a `hidden beast` number, since 4 + 540 + 0 + 3 + 9 + 6 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×454003968962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45400396897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284365 + ... + 414323.

It is an arithmetic number, because the mean of its divisors is an integer number (1794650130).

Almost surely, 245400396896 is an apocalyptic number.

It is an amenable number.

45400396896 is an abundant number, since it is smaller than the sum of its proper divisors (83814412464).

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

45400396896 is a wasteful number, since it uses less digits than its factorization.

45400396896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131188 (or 131177 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 45400396896 in words is "forty-five billion, four hundred million, three hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1213 2426 3639 4852 7278 9704 10917 14556 19408 21834 29112 38816 43668 58224 87336 116448 129959 174672 259918 349344 389877 519836 779754 1039672 1169631 1559508 2079344 2339262 3119016 4158688 4678524 6238032 9357048 12476064 18714096 37428192 157640267 315280534 472920801 630561068 945841602 1261122136 1418762403 1891683204 2522244272 2837524806 3783366408 5044488544 5675049612 7566732816 11350099224 15133465632 22700198448 45400396896