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10061662160 = 2451117239563
BaseRepresentation
bin10010101111011100…
…01100011111010000
3221222012210101201002
421113232030133100
5131101241142120
64342224201132
7504223501004
oct112756143720
927865711632
1010061662160
1142a3600780
121b497691a8
13c446c9b64
146b6414704
153dd4dd375
hex257b8c7d0

10061662160 has 120 divisors (see below), whose sum is σ = 27110202336. Its totient is φ = 3443476480.

The previous prime is 10061662151. The next prime is 10061662213. The reversal of 10061662160 is 6126616001.

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, 234539 + ... + 274101.

Almost surely, 210061662160 is an apocalyptic number.

10061662160 is a gapful number since it is divisible by the number (10) 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 10061662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555101168).

10061662160 is an abundant number, since it is smaller than the sum of its proper divisors (17048540176).

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

10061662160 is a wasteful number, since it uses less digits than its factorization.

10061662160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39621 (or 39598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 10061662160 in words is "ten billion, sixty-one million, six hundred sixty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 289 340 374 440 578 680 748 880 935 1156 1360 1445 1496 1870 2312 2890 2992 3179 3740 4624 5780 6358 7480 11560 12716 14960 15895 23120 25432 31790 39563 50864 63580 79126 127160 158252 197815 254320 316504 395630 435193 633008 672571 791260 870386 1345142 1582520 1740772 2175965 2690284 3165040 3362855 3481544 4351930 5380568 6725710 6963088 7398281 8703860 10761136 11433707 13451420 14796562 17407720 22867414 26902840 29593124 34815440 36991405 45734828 53805680 57168535 59186248 73982810 91469656 114337070 118372496 125770777 147965620 182939312 228674140 251541554 295931240 457348280 503083108 591862480 628853885 914696560 1006166216 1257707770 2012332432 2515415540 5030831080 10061662160