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10656630480 = 2435233752177
BaseRepresentation
bin10011110110010111…
…10100011011010000
31000111200022220210210
421323023310123100
5133311044133410
64521240324120
7525036602346
oct117313643320
930450286723
1010656630480
114579432231
122094a73640
13100aa53412
1473144b996
15425865220
hex27b2f46d0

10656630480 has 160 divisors (see below), whose sum is σ = 35404233984. Its totient is φ = 2644697088.

The previous prime is 10656630473. The next prime is 10656630511. The reversal of 10656630480 is 8403665601.

It is a super-2 number, since 2×106566304802 (a number of 21 digits) contains 22 as substring.

It is a congruent 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, 178152 + ... + 230328.

Almost surely, 210656630480 is an apocalyptic number.

10656630480 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 10656630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702116992).

10656630480 is an abundant number, since it is smaller than the sum of its proper divisors (24747603504).

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

10656630480 is a wasteful number, since it uses less digits than its factorization.

10656630480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52253 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 10656630480 in words is "ten billion, six hundred fifty-six million, six hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 74 80 92 111 115 120 138 148 184 185 222 230 240 276 296 345 368 370 444 460 552 555 592 690 740 851 888 920 1104 1110 1380 1480 1702 1776 1840 2220 2553 2760 2960 3404 4255 4440 5106 5520 6808 8510 8880 10212 12765 13616 17020 20424 25530 34040 40848 51060 52177 68080 102120 104354 156531 204240 208708 260885 313062 417416 521770 626124 782655 834832 1043540 1200071 1252248 1565310 1930549 2087080 2400142 2504496 3130620 3600213 3861098 4174160 4800284 5791647 6000355 6261240 7200426 7722196 9600568 9652745 11583294 12000710 12522480 14400852 15444392 18001065 19201136 19305490 23166588 24001420 28801704 28958235 30888784 36002130 38610980 44402627 46333176 48002840 57603408 57916470 72004260 77221960 88805254 92666352 96005680 115832940 133207881 144008520 154443920 177610508 222013135 231665880 266415762 288017040 355221016 444026270 463331760 532831524 666039405 710442032 888052540 1065663048 1332078810 1776105080 2131326096 2664157620 3552210160 5328315240 10656630480