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125320565680 = 245431011073371
BaseRepresentation
bin111010010110110110…
…0000001001110110000
3102222110210202100111121
41310231230001032300
54023124031100210
6133323234352024
712024363142462
oct1645554011660
9388423670447
10125320565680
114916a212942
122035572b614
13ba8259479b
1460cbc12132
1533d712e6da
hex1d2db013b0

125320565680 has 160 divisors (see below), whose sum is σ = 304002471168. Its totient is φ = 48010368000.

The previous prime is 125320565653. The next prime is 125320565687. The reversal of 125320565680 is 86565023521.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (125320565687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37174395 + ... + 37177765.

Almost surely, 2125320565680 is an apocalyptic number.

125320565680 is a gapful number since it is divisible by the number (10) 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 125320565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152001235584).

125320565680 is an abundant number, since it is smaller than the sum of its proper divisors (178681905488).

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

125320565680 is a wasteful number, since it uses less digits than its factorization.

125320565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 125320565680 in words is "one hundred twenty-five billion, three hundred twenty million, five hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 101 107 172 202 214 215 344 404 428 430 505 535 688 808 856 860 1010 1070 1616 1712 1720 2020 2140 3371 3440 4040 4280 4343 4601 6742 8080 8560 8686 9202 10807 13484 16855 17372 18404 21614 21715 23005 26968 33710 34744 36808 43228 43430 46010 53936 54035 67420 69488 73616 86456 86860 92020 108070 134840 144953 172912 173720 184040 216140 269680 289906 340471 347440 360697 368080 432280 464701 579812 680942 721394 724765 864560 929402 1159624 1361884 1442788 1449530 1702355 1803485 1858804 2319248 2323505 2723768 2885576 2899060 3404710 3606970 3717608 4647010 5447536 5771152 5798120 6809420 7213940 7435216 9294020 11596240 13618840 14427880 14640253 15509971 18588040 27237680 28855760 29280506 31019942 36430397 37176080 58561012 62039884 72860794 73201265 77549855 117122024 124079768 145721588 146402530 155099710 182151985 234244048 248159536 291443176 292805060 310199420 364303970 582886352 585610120 620398840 728607940 1171220240 1240797680 1457215880 1566507071 2914431760 3133014142 6266028284 7832535355 12532056568 15665070710 25064113136 31330141420 62660282840 125320565680