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60101051296 = 251113611391549
BaseRepresentation
bin110111111110010011…
…010100001110100000
312202010112201202001211
4313332103110032200
51441041332120141
643335434035504
74225234335616
oct677623241640
9182115652054
1060101051296
1123541527430
12b793878b94
13588a67b360
142ca20796b6
15186b563d81
hexdfe4d43a0

60101051296 has 192 divisors, whose sum is σ = 142397136000. Its totient is φ = 24609484800.

The previous prime is 60101051261. The next prime is 60101051317. The reversal of 60101051296 is 69215010106.

It is a super-3 number, since 3×601010512963 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 38799130 + ... + 38800678.

It is an arithmetic number, because the mean of its divisors is an integer number (741651750).

Almost surely, 260101051296 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 60101051296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198568000).

60101051296 is an abundant number, since it is smaller than the sum of its proper divisors (82296084704).

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

60101051296 is a wasteful number, since it uses less digits than its factorization.

60101051296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 60101051296 in words is "sixty billion, one hundred one million, fifty-one thousand, two hundred ninety-six".