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261096801672 = 2337149103910039
BaseRepresentation
bin1111001100101010010…
…1010000010110001000
3220221221021200210021210
43303022211100112020
513234211240123142
6315540214333120
724602136124140
oct3631245202610
9827837623253
10261096801672
11a0804379623
124272895a1a0
131b81007a325
14c8cc4bd920
156bd212a49c
hex3cca950588

261096801672 has 128 divisors (see below), whose sum is σ = 751795200000. Its totient is φ = 74019730176.

The previous prime is 261096801631. The next prime is 261096801701. The reversal of 261096801672 is 276108690162.

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, 26003229 + ... + 26013267.

It is an arithmetic number, because the mean of its divisors is an integer number (5873400000).

Almost surely, 2261096801672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261096801672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375897600000).

261096801672 is an abundant number, since it is smaller than the sum of its proper divisors (490698398328).

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

261096801672 is a wasteful number, since it uses less digits than its factorization.

261096801672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11243 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 261096801672 in words is "two hundred sixty-one billion, ninety-six million, eight hundred one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1039 1043 1192 1788 2078 2086 3117 3129 3576 4156 4172 6234 6258 7273 8312 8344 10039 12468 12516 14546 20078 21819 24936 25032 29092 30117 40156 43638 58184 60234 70273 80312 87276 120468 140546 154811 174552 210819 240936 281092 309622 421638 464433 562184 619244 843276 928866 1083677 1238488 1495811 1686552 1857732 2167354 2991622 3251031 3715464 4334708 4487433 5983244 6502062 8669416 8974866 10430521 10470677 11966488 13004124 17949732 20861042 20941354 26008248 31291563 31412031 35899464 41722084 41882708 62583126 62824062 73013647 83444168 83765416 125166252 125648124 146027294 219040941 250332504 251296248 292054588 438081882 584109176 876163764 1554147629 1752327528 3108295258 4662442887 6216590516 9324885774 10879033403 12433181032 18649771548 21758066806 32637100209 37299543096 43516133612 65274200418 87032267224 130548400836 261096801672