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60416679960 = 2332571331411451
BaseRepresentation
bin111000010001000111…
…010110000000011000
312202221112122100012100
4320101013112000120
51442213132224320
643431031043400
74236116210040
oct702107260030
9182845570170
1060416679960
112369370596a
12b861510560
13590ab8b990
142cd1d5a720
15188910d790
hexe111d6018

60416679960 has 768 divisors, whose sum is σ = 255722987520. Its totient is φ = 12026880000.

The previous prime is 60416679943. The next prime is 60416679977. The reversal of 60416679960 is 6997661406.

It is an interprime number because it is at equal distance from previous prime (60416679943) and next prime (60416679977).

It is a junction number, because it is equal to n+sod(n) for n = 60416679897 and 60416679906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41637235 + ... + 41638685.

It is an arithmetic number, because the mean of its divisors is an integer number (332972640).

Almost surely, 260416679960 is an apocalyptic number.

60416679960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60416679960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127861493760).

60416679960 is an abundant number, since it is smaller than the sum of its proper divisors (195306307560).

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

60416679960 is a wasteful number, since it uses less digits than its factorization.

60416679960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 60416679960 in words is "sixty billion, four hundred sixteen million, six hundred seventy-nine thousand, nine hundred sixty".