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261552377456106 = 231131181706276031
BaseRepresentation
bin111011011110000101101000…
…100011000110010111101010
31021022002011101220002011112220
4323132011220203012113222
5233240233232112043411
62324135300424214510
7106043351511155412
oct7336055043062752
91238064356064486
10261552377456106
117637a816465850
122540272a00a436
13b2c338b718039
1448832b9d89642
15203889e452b06
hexede1688c65ea

261552377456106 has 64 divisors (see below), whose sum is σ = 592322631892992. Its totient is φ = 76277811240000.

The previous prime is 261552377456087. The next prime is 261552377456131. The reversal of 261552377456106 is 601654773255162.

It is a super-2 number, since 2×2615523774561062 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261552377456106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352767690 + ... + 353508341.

It is an arithmetic number, because the mean of its divisors is an integer number (9255041123328).

Almost surely, 2261552377456106 is an apocalyptic number.

261552377456106 is an abundant number, since it is smaller than the sum of its proper divisors (330770254436886).

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

261552377456106 is a wasteful number, since it uses less digits than its factorization.

261552377456106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706276259.

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 261552377456106 in words is "two hundred sixty-one trillion, five hundred fifty-two billion, three hundred seventy-seven million, four hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 181 186 341 362 543 682 1023 1086 1991 2046 3982 5611 5973 11222 11946 16833 33666 61721 123442 185163 370326 706276031 1412552062 2118828093 4237656186 7769036341 15538072682 21894556961 23307109023 43789113922 46614218046 65683670883 127835961611 131367341766 240840126571 255671923222 383507884833 481680253142 722520379713 767015769666 1406195577721 1445040759426 2812391155442 3962914809941 4218586733163 7925829619882 8437173466326 11888744429823 23777488859646 43592062909351 87184125818702 130776188728053 261552377456106