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5634440416 = 251141390413
BaseRepresentation
bin1010011111101011…
…01011110011100000
3112112200012020012101
411033311223303200
543014404043131
62331033340144
7256424644663
oct51765536340
915480166171
105634440416
112431549530
121112b67654
136ba425617
143b64516da
1522e9c8c61
hex14fd6bce0

5634440416 has 48 divisors (see below), whose sum is σ = 12396425328. Its totient is φ = 2498636800.

The previous prime is 5634440411. The next prime is 5634440431. The reversal of 5634440416 is 6140444365.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5634440411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180775 + ... + 209638.

It is an arithmetic number, because the mean of its divisors is an integer number (258258861).

Almost surely, 25634440416 is an apocalyptic number.

It is an amenable number.

5634440416 is an abundant number, since it is smaller than the sum of its proper divisors (6761984912).

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

5634440416 is a wasteful number, since it uses less digits than its factorization.

5634440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390475 (or 390467 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 5634440416 is about 75062.9097224455. The cubic root of 5634440416 is about 1779.4410162462.

It can be divided in two parts, 56344404 and 16, that added together give a triangular number (56344420 = T10615).

The spelling of 5634440416 in words is "five billion, six hundred thirty-four million, four hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 14432 390413 780826 1561652 3123304 4294543 6246608 8589086 12493216 16006933 17178172 32013866 34356344 64027732 68712688 128055464 137425376 176076263 256110928 352152526 512221856 704305052 1408610104 2817220208 5634440416