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60042742368 = 25372329971381
BaseRepresentation
bin110111111010110100…
…111000101001100000
312201222111000100020220
4313322310320221200
51440431420223433
643325552203040
74223625614010
oct677264705140
9181874010226
1060042742368
1123511621034
12b778239480
13587b57402b
142c9841bc40
1518663972b3
hexdfad38a60

60042742368 has 384 divisors, whose sum is σ = 196588062720. Its totient is φ = 15668674560.

The previous prime is 60042742349. The next prime is 60042742393. The reversal of 60042742368 is 86324724006.

It is a super-2 number, since 2×600427423682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43477038 + ... + 43478418.

It is an arithmetic number, because the mean of its divisors is an integer number (511948080).

Almost surely, 260042742368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60042742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98294031360).

60042742368 is an abundant number, since it is smaller than the sum of its proper divisors (136545320352).

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

60042742368 is a wasteful number, since it uses less digits than its factorization.

60042742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 60042742368 in words is "sixty billion, forty-two million, seven hundred forty-two thousand, three hundred sixty-eight".