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4057694656 = 26314347563
BaseRepresentation
bin1111000111011011…
…1000000111000000
3101110210021020122021
43301312320013000
531302232212111
61510350251224
7202360556401
oct36166700700
911423236567
104057694656
1117a2510064
12952ab6b14
134c8872272
142a6c919a8
1518b36ed71
hexf1db81c0

4057694656 has 56 divisors (see below), whose sum is σ = 8505204224. Its totient is φ = 1917699840.

The previous prime is 4057694647. The next prime is 4057694671. The reversal of 4057694656 is 6564967504.

It is a happy number.

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, 61531 + ... + 109093.

Almost surely, 24057694656 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 4057694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252602112).

4057694656 is an abundant number, since it is smaller than the sum of its proper divisors (4447509568).

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

4057694656 is a wasteful number, since it uses less digits than its factorization.

4057694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47649 (or 47639 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The square root of 4057694656 is about 63700.0365463003. The cubic root of 4057694656 is about 1594.9966956493.

The spelling of 4057694656 in words is "four billion, fifty-seven million, six hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 688 992 1333 1376 1984 2666 2752 5332 10664 21328 42656 47563 85312 95126 190252 380504 761008 1474453 1522016 2045209 2948906 3044032 4090418 5897812 8180836 11795624 16361672 23591248 32723344 47182496 63401479 65446688 94364992 126802958 130893376 253605916 507211832 1014423664 2028847328 4057694656