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9956995620 = 223511213105499
BaseRepresentation
bin10010100010111101…
…11011001000100100
3221200220211210012120
421101132323020210
5130342442324440
64324004545540
7501513031515
oct112136731044
927626753176
109956995620
11424a512200
121b1a6b22b0
13c28b112b0
146a656aa0c
153d4215dd0
hex2517bb224

9956995620 has 144 divisors (see below), whose sum is σ = 33002088000. Its totient is φ = 2228117760.

The previous prime is 9956995603. The next prime is 9956995621. The reversal of 9956995620 is 265996599.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9956995621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41631 + ... + 147129.

Almost surely, 29956995620 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 9956995620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501044000).

9956995620 is an abundant number, since it is smaller than the sum of its proper divisors (23045092380).

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

9956995620 is a wasteful number, since it uses less digits than its factorization.

9956995620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105546 (or 105533 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 60.

The square root of 9956995620 is about 99784.7464295019. The cubic root of 9956995620 is about 2151.3419147533.

The spelling of 9956995620 in words is "nine billion, nine hundred fifty-six million, nine hundred ninety-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 3146 3630 4290 4719 6292 7260 7865 8580 9438 15730 18876 23595 31460 47190 94380 105499 210998 316497 421996 527495 632994 1054990 1160489 1265988 1371487 1582485 2109980 2320978 2742974 3164970 3481467 4114461 4641956 5485948 5802445 6329940 6857435 6962934 8228922 11604890 12765379 13714870 13925868 15086357 16457844 17407335 20572305 23209780 25530758 27429740 30172714 34814670 38296137 41144610 45259071 51061516 60345428 63826895 69629340 75431785 76592274 82289220 90518142 127653790 150863570 153184548 165949927 181036284 191480685 226295355 255307580 301727140 331899854 382961370 452590710 497849781 663799708 765922740 829749635 905181420 995699562 1659499270 1991399124 2489248905 3318998540 4978497810 9956995620