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261646061312216 = 23724722962014721
BaseRepresentation
bin111011011111011100111000…
…100010101001100011011000
31021022102010012212210011020102
4323133130320202221203120
5233243302113143442331
62324250312522314532
7106053206211620300
oct7337347042514330
91238363185704212
10261646061312216
117640652056a519
1225418914658a48
13b2cc16b7caa19
144887a46224600
15203b033e074cb
hexedf7388a98d8

261646061312216 has 96 divisors (see below), whose sum is σ = 585369363902400. Its totient is φ = 109268944404480.

The previous prime is 261646061312143. The next prime is 261646061312227. The reversal of 261646061312216 is 612213160646162.

It is a super-2 number, since 2×2616460613122162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26788265 + ... + 35226456.

It is an arithmetic number, because the mean of its divisors is an integer number (6097597540650).

Almost surely, 2261646061312216 is an apocalyptic number.

It is an amenable number.

261646061312216 is an abundant number, since it is smaller than the sum of its proper divisors (323723302590184).

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

261646061312216 is a wasteful number, since it uses less digits than its factorization.

261646061312216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62015017 (or 62015006 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 261646061312216 in words is "two hundred sixty-one trillion, six hundred forty-six billion, sixty-one million, three hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 229 329 376 392 458 658 916 1316 1603 1832 2303 2632 3206 4606 6412 9212 10763 11221 12824 18424 21526 22442 43052 44884 75341 86104 89768 150682 301364 527387 602728 1054774 2109548 4219096 62014721 124029442 248058884 434103047 496117768 868206094 1736412188 2914691887 3038721329 3472824376 5829383774 6077442658 11658767548 12154885316 14201371109 20402843209 23317535096 24309770632 28402742218 40805686418 56805484436 81611372836 99409597763 113610968872 142819902463 163222745672 198819195526 285639804926 397638391052 571279609852 667464442123 695867184341 795276782104 1142559219704 1334928884246 1391734368682 2669857768492 2783468737364 4672251094861 5339715536984 5566937474728 9344502189722 18689004379444 32705757664027 37378008758888 65411515328054 130823030656108 261646061312216