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261451053007104 = 283192943022323
BaseRepresentation
bin111011011100100111010001…
…001001000000000100000000
31021021201110212102020211211110
4323130213101021000010000
5233232103224032211404
62324020542225443320
7106033133552440512
oct7334472111000400
91237643772224743
10261451053007104
11763408504535a4
12253a6b707a0540
13b2b69616c017c
14487c427081bb2
152035e1dce8b89
hexedc9d1240100

261451053007104 has 108 divisors (see below), whose sum is σ = 734391837127536. Its totient is φ = 82563490335744.

The previous prime is 261451053007051. The next prime is 261451053007127. The reversal of 261451053007104 is 401700350154162.

It is a super-2 number, since 2×2614510530071042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471233914 + ... + 471788409.

Almost surely, 2261451053007104 is an apocalyptic number.

261451053007104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261451053007104 is an abundant number, since it is smaller than the sum of its proper divisors (472940784120432).

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

261451053007104 is an equidigital number, since it uses as much as digits as its factorization.

261451053007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943022380 (or 943022347 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 261451053007104 in words is "two hundred sixty-one trillion, four hundred fifty-one billion, fifty-three million, seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 608 722 768 912 1083 1216 1444 1824 2166 2432 2888 3648 4332 4864 5776 7296 8664 11552 14592 17328 23104 34656 46208 69312 92416 138624 277248 943022323 1886044646 2829066969 3772089292 5658133938 7544178584 11316267876 15088357168 17917424137 22632535752 30176714336 35834848274 45265071504 53752272411 60353428672 71669696548 90530143008 107504544822 120706857344 143339393096 181060286016 215009089644 241413714688 286678786192 340431058603 362120572032 430018179288 573357572384 680862117206 724241144064 860036358576 1021293175809 1146715144768 1361724234412 1720072717152 2042586351618 2293430289536 2723448468824 3440145434304 4085172703236 4586860579072 5446896937648 6880290868608 8170345406472 10893793875296 13760581737216 16340690812944 21787587750592 32681381625888 43575175501184 65362763251776 87150351002368 130725526503552 261451053007104