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4070750688 = 25334711517
BaseRepresentation
bin1111001010100010…
…1011100111100000
3101111200211120011000
43302220223213200
531314103010223
61511534152000
7202606544544
oct36250534740
911450746130
104070750688
1117a9918274
12957352600
134cb493b24
142a88cda24
1518c59d543
hexf2a2b9e0

4070750688 has 48 divisors (see below), whose sum is σ = 11873025360. Its totient is φ = 1356916608.

The previous prime is 4070750633. The next prime is 4070750777. The reversal of 4070750688 is 8860570704.

4070750688 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 super-2 number, since 2×40707506882 = 33142022327704946688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 2354895 + ... + 2356622.

It is an arithmetic number, because the mean of its divisors is an integer number (247354695).

Almost surely, 24070750688 is an apocalyptic number.

4070750688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4070750688 is an abundant number, since it is smaller than the sum of its proper divisors (7802274672).

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

4070750688 is a wasteful number, since it uses less digits than its factorization.

4070750688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711536 (or 4711522 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 4070750688 is about 63802.4348124740. The cubic root of 4070750688 is about 1596.7055504487.

The spelling of 4070750688 in words is "four billion, seventy million, seven hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4711517 9423034 14134551 18846068 28269102 37692136 42403653 56538204 75384272 84807306 113076408 127210959 150768544 169614612 226152816 254421918 339229224 452305632 508843836 678458448 1017687672 1356916896 2035375344 4070750688