Search a number
-
+
72507453676130 = 25111728212778107
BaseRepresentation
bin10000011111000111110101…
…000001010001101001100010
3100111201122102010002022110002
4100133013311001101221202
534000430231120114010
6414113244145540002
721162330203146604
oct2037076501215142
9314648363068402
1072507453676130
1121115269375620
12817051b644602
13315c5676a7a95
1413c954542d174
1585b142b881a5
hex41f1f5051a62

72507453676130 has 96 divisors (see below), whose sum is σ = 151430399906112. Its totient is φ = 24785150489600.

The previous prime is 72507453676123. The next prime is 72507453676171. The reversal of 72507453676130 is 3167635470527.

It is a super-2 number, since 2×725074536761302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24710537 + ... + 27488643.

It is an arithmetic number, because the mean of its divisors is an integer number (1577399999022).

Almost surely, 272507453676130 is an apocalyptic number.

72507453676130 is an abundant number, since it is smaller than the sum of its proper divisors (78922946229982).

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

72507453676130 is a wasteful number, since it uses less digits than its factorization.

72507453676130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778980 (or 2778963 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 56.

The spelling of 72507453676130 in words is "seventy-two trillion, five hundred seven billion, four hundred fifty-three million, six hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 170 187 289 374 578 821 935 1445 1642 1870 2890 3179 4105 6358 8210 9031 13957 15895 18062 27914 31790 45155 69785 90310 139570 153527 237269 307054 474538 767635 1186345 1535270 2372690 2609959 2778107 5219918 5556214 13049795 13890535 26099590 27781070 30559177 47227819 61118354 94455638 152795885 236139095 305591770 472278190 519506009 802872923 1039012018 1605745846 2280825847 2597530045 4014364615 4561651694 5195060090 8028729230 8831602153 11404129235 17663204306 22808258470 25089084317 38774039399 44158010765 50178168634 77548078798 88316021530 125445421585 193870196995 250890843170 387740393990 426514433389 659158669783 853028866778 1318317339566 2132572166945 3295793348915 4265144333890 6591586697830 7250745367613 14501490735226 36253726838065 72507453676130