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261162503140 = 2257111259134699
BaseRepresentation
bin1111001100111001111…
…1111000101111100100
3220222002212022202202111
43303032133320233210
513234330100100030
6315550522450404
724603564435460
oct3631637705744
9828085282674
10261162503140
11a0838474060
1242746963a04
131b820872436
14c8d71034a0
156bd7ca762a
hex3cce7f8be4

261162503140 has 96 divisors (see below), whose sum is σ = 684319104000. Its totient is φ = 81336040320.

The previous prime is 261162503137. The next prime is 261162503177. The reversal of 261162503140 is 41305261162.

It is a happy number.

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, 1871511 + ... + 2006209.

It is an arithmetic number, because the mean of its divisors is an integer number (7128324000).

Almost surely, 2261162503140 is an apocalyptic number.

261162503140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261162503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342159552000).

261162503140 is an abundant number, since it is smaller than the sum of its proper divisors (423156600860).

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

261162503140 is a wasteful number, since it uses less digits than its factorization.

261162503140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135985 (or 135983 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 261162503140 in words is "two hundred sixty-one billion, one hundred sixty-two million, five hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1259 1540 2518 5036 6295 8813 12590 13849 17626 25180 27698 35252 44065 55396 69245 88130 96943 134699 138490 176260 193886 269398 276980 387772 484715 538796 673495 942893 969430 1346990 1481689 1885786 1938860 2693980 2963378 3771572 4714465 5926756 7408445 9428930 10371823 14816890 18857860 20743646 29633780 41487292 51859115 103718230 169586041 207436460 339172082 678344164 847930205 1187102287 1695860410 1865446451 2374204574 3391720820 3730892902 4748409148 5935511435 7461785804 9327232255 11871022870 13058125157 18654464510 23742045740 26116250314 37308929020 52232500628 65290625785 130581251570 261162503140