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72266681612144 = 244312716710134889
BaseRepresentation
bin10000011011100111100101…
…111000101111011101110000
3100110212121221021222011202202
4100123213211320233131300
533433004130443042034
6413410504421002332
721136044511316435
oct2033474570573560
9313777837864682
1072266681612144
1121032144866278
1281319255533a8
133142946384b76
1413bba24407b8c
15854c5007247e
hex41b9e5e2f770

72266681612144 has 160 divisors (see below), whose sum is σ = 145438851317760. Its totient is φ = 34763990317056.

The previous prime is 72266681612143. The next prime is 72266681612149. The reversal of 72266681612144 is 44121618666227.

It is a self number, because there is not a number n which added to its sum of digits gives 72266681612144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72266681612143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14781482852 + ... + 14781487740.

It is an arithmetic number, because the mean of its divisors is an integer number (908992820736).

Almost surely, 272266681612144 is an apocalyptic number.

It is an amenable number.

72266681612144 is an abundant number, since it is smaller than the sum of its proper divisors (73172169705616).

72266681612144 is a wasteful number, since it uses less digits than its factorization.

72266681612144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6241 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 72266681612144 in words is "seventy-two trillion, two hundred sixty-six billion, six hundred eighty-one million, six hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 43 86 127 167 172 254 334 344 508 668 688 1013 1016 1336 2026 2032 2672 4052 4889 5461 7181 8104 9778 10922 14362 16208 19556 21209 21844 28724 39112 42418 43559 43688 57448 78224 84836 87118 87376 114896 128651 169171 169672 174236 210227 257302 338342 339344 348472 420454 514604 620903 676684 696944 816463 840908 911987 1029208 1241806 1353368 1632926 1681816 1823974 2058416 2483612 2706736 3265852 3363632 3647948 4952557 4967224 5531993 6531704 7274353 7295896 9905114 9934448 11063986 13063408 14548706 14591792 19810228 21484717 22127972 26698829 29097412 35107909 39620456 42969434 44255944 53397658 58194824 70215818 79240912 85938868 88511888 103690801 106795316 116389648 140431636 171877736 207381602 212959951 213590632 280863272 343755472 414763204 425919902 427181264 561726544 628974739 827077019 829526408 851839804 923842831 1257949478 1654154038 1659052816 1703679608 1847685662 2515898956 3308308076 3407359216 3695371324 4458704443 5031797912 6616616152 7390742648 8917408886 10063595824 13233232304 14781485296 17834817772 27045913777 35564311817 35669635544 54091827554 71128623634 71339271088 105038781413 108183655108 142257247268 210077562826 216367310216 284514494536 420155125652 432734620432 569028989072 840310251304 1680620502608 4516667600759 9033335201518 18066670403036 36133340806072 72266681612144