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64142760144 = 2433736116419
BaseRepresentation
bin111011101111001101…
…001101100011010000
320010120012220211022010
4323233031031203100
52022331021311034
645244453542520
74430342315421
oct735715154320
9203505824263
1064142760144
1125225a09081
1210521344a40
136082b14358
143166b69648
151a062c73e9
hexeef34d8d0

64142760144 has 40 divisors (see below), whose sum is σ = 170180571040. Its totient is φ = 20803056768.

The previous prime is 64142760113. The next prime is 64142760179. The reversal of 64142760144 is 44106724146.

It is a super-2 number, since 2×641427601442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18056434 + ... + 18059985.

It is an arithmetic number, because the mean of its divisors is an integer number (4254514276).

Almost surely, 264142760144 is an apocalyptic number.

It is an amenable number.

64142760144 is an abundant number, since it is smaller than the sum of its proper divisors (106037810896).

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

64142760144 is a wasteful number, since it uses less digits than its factorization.

64142760144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36116467 (or 36116461 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 64142760144 in words is "sixty-four billion, one hundred forty-two million, seven hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 36116419 72232838 108349257 144465676 216698514 288931352 433397028 577862704 866794056 1336307503 1733588112 2672615006 4008922509 5345230012 8017845018 10690460024 16035690036 21380920048 32071380072 64142760144