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131516256032 = 2573118939553
BaseRepresentation
bin111101001111011111…
…0101100111100100000
3110120110121001000212122
41322132332230330200
54123321130143112
6140230121443412
712334044505610
oct1723676547440
9416417030778
10131516256032
1150859552797
12215a4640568
13c52c069055
146518a00a40
15364b01e872
hex1e9efacf20

131516256032 has 48 divisors (see below), whose sum is σ = 305457126912. Its totient is φ = 54545909760.

The previous prime is 131516256013. The next prime is 131516256071. The reversal of 131516256032 is 230652615131.

It is a junction number, because it is equal to n+sod(n) for n = 131516255983 and 131516256001.

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, 9462833 + ... + 9476720.

It is an arithmetic number, because the mean of its divisors is an integer number (6363690144).

Almost surely, 2131516256032 is an apocalyptic number.

It is an amenable number.

131516256032 is an abundant number, since it is smaller than the sum of its proper divisors (173940870880).

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

131516256032 is a wasteful number, since it uses less digits than its factorization.

131516256032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18939601 (or 18939593 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 131516256032 in words is "one hundred thirty-one billion, five hundred sixteen million, two hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 18939553 37879106 75758212 132576871 151516424 265153742 303032848 530307484 587126143 606065696 1060614968 1174252286 2121229936 2348504572 4109883001 4242459872 4697009144 8219766002 9394018288 16439532004 18788036576 32879064008 65758128016 131516256032