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61190871255 = 38517113971
BaseRepresentation
bin111000111111010000…
…101001100011010111
312211221111102100000000
4320333100221203113
52000304330340010
644035524422343
74264236552363
oct707720514327
9184844370000
1061190871255
1123a50719288
12ba388479b3
135a023a6537
142d66ac82a3
1518d20887c0
hexe3f4298d7

61190871255 has 144 divisors (see below), whose sum is σ = 117769845024. Its totient is φ = 30412247040.

The previous prime is 61190871253. The next prime is 61190871271. The reversal of 61190871255 is 55217809116.

61190871255 is a `hidden beast` number, since 611 + 9 + 0 + 8 + 7 + 1 + 25 + 5 = 666.

It is not a de Polignac number, because 61190871255 - 21 = 61190871253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 61190871255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61190871253) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63017920 + ... + 63018890.

It is an arithmetic number, because the mean of its divisors is an integer number (817846146).

Almost surely, 261190871255 is an apocalyptic number.

61190871255 is a deficient number, since it is larger than the sum of its proper divisors (56578973769).

61190871255 is an equidigital number, since it uses as much as digits as its factorization.

61190871255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 61190871255 in words is "sixty-one billion, one hundred ninety million, eight hundred seventy-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 113 135 153 243 255 339 405 459 565 729 765 971 1017 1215 1377 1695 1921 2187 2295 2913 3051 3645 4131 4855 5085 5763 6561 6885 8739 9153 9605 10935 12393 14565 15255 16507 17289 20655 26217 27459 28815 32805 37179 43695 45765 49521 51867 61965 78651 82377 82535 86445 109723 111537 131085 137295 148563 155601 185895 235953 247131 247605 259335 329169 393255 411885 445689 466803 548615 557685 707859 741393 742815 778005 987507 1179765 1235655 1337067 1400409 1645845 1865291 2123577 2228445 2334015 2962521 3539295 3706965 4011201 4201227 4937535 5595873 6370731 6685335 7002045 8887563 9326455 10617885 12033603 12603681 14812605 16787619 20056005 21006135 26662689 27979365 31853655 36100809 44437815 50362857 60168015 63018405 79988067 83938095 108302427 133313445 151088571 180504045 239964201 251814285 399940335 453265713 541512135 719892603 755442855 1199821005 1359797139 2266328565 3599463015 4079391417 6798985695 12238174251 20396957085 61190871255