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75412714160 = 2457457294673
BaseRepresentation
bin100011000111011110…
…0101011001010110000
321012122122022210211102
41012032330223022300
52213421123323120
654351044103532
75306540331260
oct1061674531260
9235578283742
1075412714160
1129a89569363
1212747694ba8
13715a9498b4
14391582b7a0
151e658dcd75
hex118ef2b2b0

75412714160 has 80 divisors (see below), whose sum is σ = 200821509696. Its totient is φ = 25799122944.

The previous prime is 75412714159. The next prime is 75412714207. The reversal of 75412714160 is 6141721457.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108584 + ... + 403256.

Almost surely, 275412714160 is an apocalyptic number.

75412714160 is a gapful number since it is divisible by the number (70) 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 75412714160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100410754848).

75412714160 is an abundant number, since it is smaller than the sum of its proper divisors (125408795536).

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

75412714160 is a wasteful number, since it uses less digits than its factorization.

75412714160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295150 (or 295144 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 75412714160 in words is "seventy-five billion, four hundred twelve million, seven hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 457 560 914 1828 2285 3199 3656 4570 6398 7312 9140 12796 15995 18280 25592 31990 36560 51184 63980 127960 255920 294673 589346 1178692 1473365 2062711 2357384 2946730 4125422 4714768 5893460 8250844 10313555 11786920 16501688 20627110 23573840 33003376 41254220 82508440 134665561 165016880 269331122 538662244 673327805 942658927 1077324488 1346655610 1885317854 2154648976 2693311220 3770635708 4713294635 5386622440 7541271416 9426589270 10773244880 15082542832 18853178540 37706357080 75412714160