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10209791968 = 2519293118679
BaseRepresentation
bin10011000001000110…
…10000111111100000
3222100112112011121021
421200203100333200
5131402201320333
64405035135224
7511002541225
oct114043207740
928315464537
1010209791968
11436a185902
121b8b2a4514
13c692c272c
146cbd7394c
153eb4ed82d
hex2608d0fe0

10209791968 has 96 divisors (see below), whose sum is σ = 22595328000. Its totient is φ = 4518581760.

The previous prime is 10209791959. The next prime is 10209792011. The reversal of 10209791968 is 86919790201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537253 + ... + 555931.

It is an arithmetic number, because the mean of its divisors is an integer number (235368000).

Almost surely, 210209791968 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 10209791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11297664000).

10209791968 is an abundant number, since it is smaller than the sum of its proper divisors (12385536032).

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

10209791968 is a wasteful number, since it uses less digits than its factorization.

10209791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18768 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The spelling of 10209791968 in words is "ten billion, two hundred nine million, seven hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 29 31 32 38 58 62 76 116 124 152 232 248 304 464 496 551 589 608 899 928 992 1102 1178 1798 2204 2356 3596 4408 4712 7192 8816 9424 14384 17081 17632 18679 18848 28768 34162 37358 68324 74716 136648 149432 273296 298864 354901 541691 546592 579049 597728 709802 1083382 1158098 1419604 2166764 2316196 2839208 4333528 4632392 5678416 8667056 9264784 10292129 11001931 11356832 16792421 17334112 18529568 20584258 22003862 33584842 41168516 44007724 67169684 82337032 88015448 134339368 164674064 176030896 268678736 319055999 329348128 352061792 537357472 638111998 1276223996 2552447992 5104895984 10209791968