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40976115264 = 2632771143137
BaseRepresentation
bin100110001010010111…
…011110011001000000
310220202200210022220200
4212022113132121000
51132404341142024
630454004205200
72650266142620
oct461227363100
9126680708820
1040976115264
1116417a48977
127b36999800
133b30379066
141daa09c880
1510ec54b2c9
hex98a5de640

40976115264 has 168 divisors, whose sum is σ = 136120802688. Its totient is φ = 11542487040.

The previous prime is 40976115247. The next prime is 40976115317. The reversal of 40976115264 is 46251167904.

40976115264 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 611 + 5 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×409761152642 (a number of 22 digits) contains 22 as substring.

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, 214704 + ... + 357840.

Almost surely, 240976115264 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 40976115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68060401344).

40976115264 is an abundant number, since it is smaller than the sum of its proper divisors (95144687424).

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

40976115264 is a wasteful number, since it uses less digits than its factorization.

40976115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143233 (or 143220 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40976115264 in words is "forty billion, nine hundred seventy-six million, one hundred fifteen thousand, two hundred sixty-four".