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60117239104 = 26131943591499
BaseRepresentation
bin110111111111010001…
…000100010101000000
312202011200012011120021
4313333101010111000
51441110003122404
643341213023224
74225522046446
oct677721042500
9182150164507
1060117239104
112354a68358a
12b799184b14
135890b28540
142ca4290b96
15186cbb0454
hexdff444540

60117239104 has 224 divisors, whose sum is σ = 140817600000. Its totient is φ = 25222772736.

The previous prime is 60117239101. The next prime is 60117239131. The reversal of 60117239104 is 40193271106.

It is a super-2 number, since 2×601172391042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 60117239104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60117239101) 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 31 ways as a sum of consecutive naturals, for example, 40104147 + ... + 40105645.

It is an arithmetic number, because the mean of its divisors is an integer number (628650000).

Almost surely, 260117239104 is an apocalyptic number.

60117239104 is a gapful number since it is divisible by the number (64) 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 60117239104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70408800000).

60117239104 is an abundant number, since it is smaller than the sum of its proper divisors (80700360896).

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

60117239104 is a wasteful number, since it uses less digits than its factorization.

60117239104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 60117239104 in words is "sixty billion, one hundred seventeen million, two hundred thirty-nine thousand, one hundred four".