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125667745080 = 23352973494677
BaseRepresentation
bin111010100001001100…
…0011001110100111000
3110000101000000220002220
41311002120121310320
54024331420320310
6133421515524040
712036110131353
oct1650230316470
9400330026086
10125667745080
1149328190969
1220431a59620
13bb094a0b97
146121d8729a
15340785c670
hex1d42619d38

125667745080 has 128 divisors (see below), whose sum is σ = 395346657600. Its totient is φ = 31912538112.

The previous prime is 125667745067. The next prime is 125667745081. The reversal of 125667745080 is 80547766521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125667745081) 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, 6702 + ... + 501378.

Almost surely, 2125667745080 is an apocalyptic number.

125667745080 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 125667745080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197673328800).

125667745080 is an abundant number, since it is smaller than the sum of its proper divisors (269678912520).

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

125667745080 is a wasteful number, since it uses less digits than its factorization.

125667745080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494793 (or 494789 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 125667745080 in words is "one hundred twenty-five billion, six hundred sixty-seven million, seven hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 73 87 116 120 145 146 174 219 232 290 292 348 365 435 438 580 584 696 730 870 876 1095 1160 1460 1740 1752 2117 2190 2920 3480 4234 4380 6351 8468 8760 10585 12702 16936 21170 25404 31755 42340 50808 63510 84680 127020 254040 494677 989354 1484031 1978708 2473385 2968062 3957416 4946770 5936124 7420155 9893540 11872248 14345633 14840310 19787080 28691266 29680620 36111421 43036899 57382532 59361240 71728165 72222842 86073798 108334263 114765064 143456330 144445684 172147596 180557105 215184495 216668526 286912660 288891368 344295192 361114210 430368990 433337052 541671315 573825320 722228420 860737980 866674104 1047231209 1083342630 1444456840 1721475960 2094462418 2166685260 3141693627 4188924836 4333370520 5236156045 6283387254 8377849672 10472312090 12566774508 15708468135 20944624180 25133549016 31416936270 41889248360 62833872540 125667745080