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42611026656 = 2531140351351
BaseRepresentation
bin100111101011110100…
…001010101011100000
311001222122011102201110
4213223310022223200
51144231410323111
631324130103320
73035640515262
oct475364125340
9131878142643
1042611026656
11170868a5010
12831241ab40
134030cb6453
1420c327db32
151195d445a6
hex9ebd0aae0

42611026656 has 48 divisors (see below), whose sum is σ = 122022488448. Its totient is φ = 12912432000.

The previous prime is 42611026649. The next prime is 42611026693. The reversal of 42611026656 is 65662011624.

42611026656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20174620 + ... + 20176731.

It is an arithmetic number, because the mean of its divisors is an integer number (2542135176).

Almost surely, 242611026656 is an apocalyptic number.

It is an amenable number.

42611026656 is an abundant number, since it is smaller than the sum of its proper divisors (79411461792).

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

42611026656 is a wasteful number, since it uses less digits than its factorization.

42611026656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40351375 (or 40351367 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 42611026656 in words is "forty-two billion, six hundred eleven million, twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 40351351 80702702 121054053 161405404 242108106 322810808 443864861 484216212 645621616 887729722 968432424 1291243232 1331594583 1775459444 1936864848 2663189166 3550918888 3873729696 5326378332 7101837776 10652756664 14203675552 21305513328 42611026656