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45970965504 = 21035239773
BaseRepresentation
bin101010110100000101…
…010100010000000000
311101122210111000100000
4222310011110100000
51223122031344004
633041353200000
73215126521332
oct526405242000
9141583430300
1045970965504
1118550458882
128aab700000
134448123949
1423215bd452
1512e0cd6c39
hexab4154400

45970965504 has 264 divisors, whose sum is σ = 138411262080. Its totient is φ = 15239798784.

The previous prime is 45970965457. The next prime is 45970965529. The reversal of 45970965504 is 40556907954.

45970965504 is a `hidden beast` number, since 4 + 5 + 9 + 70 + 9 + 65 + 504 = 666.

It is a super-2 number, since 2×459709655042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 59470462 + ... + 59471234.

Almost surely, 245970965504 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 45970965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69205631040).

45970965504 is an abundant number, since it is smaller than the sum of its proper divisors (92440296576).

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

45970965504 is an equidigital number, since it uses as much as digits as its factorization.

45970965504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 45970965504 in words is "forty-five billion, nine hundred seventy million, nine hundred sixty-five thousand, five hundred four".