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60381379968 = 2737132612179
BaseRepresentation
bin111000001111000000…
…101011110110000000
312202212002012220201020
4320033000223312000
51442130113124333
643423330305440
74235210155440
oct701700536600
9182762186636
1060381379968
1123675795518
12b851728280
13590377c500
142ccb3ac120
151885e893b3
hexe0f02bd80

60381379968 has 384 divisors, whose sum is σ = 201831724800. Its totient is φ = 15656509440.

The previous prime is 60381379957. The next prime is 60381379969. The reversal of 60381379968 is 86997318306.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×603813799682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60381379969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27709503 + ... + 27711681.

It is an arithmetic number, because the mean of its divisors is an integer number (525603450).

Almost surely, 260381379968 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 60381379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100915862400).

60381379968 is an abundant number, since it is smaller than the sum of its proper divisors (141450344832).

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

60381379968 is a wasteful number, since it uses less digits than its factorization.

60381379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 60381379968 in words is "sixty billion, three hundred eighty-one million, three hundred seventy-nine thousand, nine hundred sixty-eight".