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41072056416 = 2532142611307
BaseRepresentation
bin100110010000000101…
…011101100001100000
310221000101022122102200
4212100011131201200
51133103421301131
630511312413200
72652542501466
oct462005354140
9127011278380
1041072056416
1116467117986
127b62b47200
133b471cb281
141db8b14836
151105b9d2e6
hex99015d860

41072056416 has 36 divisors (see below), whose sum is σ = 116798661252. Its totient is φ = 13690685376.

The previous prime is 41072056397. The next prime is 41072056451. The reversal of 41072056416 is 61465027014.

41072056416 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 2 + 0 + 5 + 641 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71305366 + ... + 71305941.

It is an arithmetic number, because the mean of its divisors is an integer number (3244407257).

Almost surely, 241072056416 is an apocalyptic number.

It is an amenable number.

41072056416 is an abundant number, since it is smaller than the sum of its proper divisors (75726604836).

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

41072056416 is a wasteful number, since it uses less digits than its factorization.

41072056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142611323 (or 142611312 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41072056416 in words is "forty-one billion, seventy-two million, fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 142611307 285222614 427833921 570445228 855667842 1140890456 1283501763 1711335684 2281780912 2567003526 3422671368 4563561824 5134007052 6845342736 10268014104 13690685472 20536028208 41072056416