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47105630512353 = 3373174914993209
BaseRepresentation
bin10101011010111101000100…
…10111111010010011100001
320011210020212101022222212000
422231132202113322103201
522133234312402343403
6244104010010154213
712631161302620320
oct1255364227722341
9204706771288760
1047105630512353
1114011427423806
125349478422969
13203907108122a
14b8bcd34800b7
1556a4d3b057a3
hex2ad7a25fa4e1

47105630512353 has 128 divisors (see below), whose sum is σ = 80355801600000. Its totient is φ = 26715949908480.

The previous prime is 47105630512331. The next prime is 47105630512379. The reversal of 47105630512353 is 35321503650174.

47105630512353 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 5 + 630 + 5 + 1 + 2 + 3 + 5 + 3 = 666.

It is not a de Polignac number, because 47105630512353 - 25 = 47105630512321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47105630512299 and 47105630512308.

It is not an unprimeable number, because it can be changed into a prime (47105630512253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14679222613 + ... + 14679225821.

It is an arithmetic number, because the mean of its divisors is an integer number (627779700000).

Almost surely, 247105630512353 is an apocalyptic number.

It is an amenable number.

47105630512353 is a deficient number, since it is larger than the sum of its proper divisors (33250171087647).

47105630512353 is a wasteful number, since it uses less digits than its factorization.

47105630512353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 47105630512353 in words is "forty-seven trillion, one hundred five billion, six hundred thirty million, five hundred twelve thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 189 317 491 499 951 1473 1497 2219 2853 3209 3437 3493 4419 4491 6657 8559 9627 10311 10479 13257 13473 19971 22463 28881 30933 31437 59913 67389 86643 92799 94311 155647 158183 202167 245009 466941 474549 606501 735027 1017253 1089529 1107281 1400823 1423647 1575619 1601291 1715063 2205081 3051759 3268587 3321843 4202469 4270941 4726857 4803873 5145189 6615243 7120771 9155277 9805761 9965529 11029333 11209037 14180571 14411619 15435567 21362313 27465831 29417283 29896587 33087999 33627111 42541713 43234857 46306701 64086939 77667853 99263997 100881333 192260817 233003559 297791991 302643999 499471223 507609247 543674971 699010677 786233881 1498413669 1522827741 1631024913 2097032031 2358701643 3496298561 3553264729 4495241007 4568483223 4893074739 5503637167 7076104929 10488895683 10659794187 13485723021 13705449669 14679224217 16510911501 21228314787 31466687049 31979382561 49532734503 94400061147 95938147683 148598203509 249236140277 747708420831 1744652981939 2243125262493 5233958945817 6729375787479 15701876837451 47105630512353