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5295578329440 = 25345758372777
BaseRepresentation
bin100110100001111100100…
…0100001011000101100000
3200202020210221220000110000
41031003321010023011200
51143230321023020230
615132431033540000
71054410240051630
oct115037104130540
920666727800400
105295578329440
111761929a03273
1271639a574600
132c54a8b13259
1414444356c6c0
1592b3bb15b60
hex4d0f910b160

5295578329440 has 240 divisors, whose sum is σ = 21358832961312. Its totient is φ = 1210417883136.

The previous prime is 5295578329427. The next prime is 5295578329441. The reversal of 5295578329440 is 449238755925.

5295578329440 is a `hidden beast` number, since 5 + 2 + 9 + 557 + 8 + 32 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295578329441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29095669 + ... + 29277108.

Almost surely, 25295578329440 is an apocalyptic number.

It is an amenable number.

5295578329440 is an abundant number, since it is smaller than the sum of its proper divisors (16063254631872).

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

5295578329440 is a wasteful number, since it uses less digits than its factorization.

5295578329440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58372811 (or 58372794 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5295578329440 in words is "five trillion, two hundred ninety-five billion, five hundred seventy-eight million, three hundred twenty-nine thousand, four hundred forty".