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4057630796106 = 233292591079691
BaseRepresentation
bin111011000010111101101…
…001000110100101001010
3112100220110021012110221000
4323002331221012211022
51012440011440433411
612344014433555430
7566103605456616
oct73027551064512
915326407173830
104057630796106
111324916890788
12556490415b76
1323582c760414
141005672ac346
157083571b956
hex3b0bda4694a

4057630796106 has 32 divisors (see below), whose sum is σ = 9327886891200. Its totient is φ = 1305904163760.

The previous prime is 4057630796053. The next prime is 4057630796111. The reversal of 4057630796106 is 6016970367504.

It is a happy number.

4057630796106 is a `hidden beast` number, since 4 + 0 + 576 + 3 + 0 + 7 + 9 + 61 + 0 + 6 = 666.

4057630796106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40576307961062 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295538280 + ... + 1295541411.

It is an arithmetic number, because the mean of its divisors is an integer number (291496465350).

Almost surely, 24057630796106 is an apocalyptic number.

4057630796106 is an abundant number, since it is smaller than the sum of its proper divisors (5270256095094).

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

4057630796106 is a wasteful number, since it uses less digits than its factorization.

4057630796106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591079731 (or 2591079725 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 4057630796106 in words is "four trillion, fifty-seven billion, six hundred thirty million, seven hundred ninety-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2591079691 5182159382 7773239073 15546478146 23319717219 46639434438 69959151657 75141311039 139918303314 150282622078 225423933117 450847866234 676271799351 1352543598702 2028815398053 4057630796106