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10464360140 = 225132310931601
BaseRepresentation
bin10011011111011100…
…10111011011001100
31000000021112120111002
421233232113123030
5132412334011030
64450211315432
7520213410413
oct115756273314
930007476432
1010464360140
11448a949723
1220405abb78
13ca9c744a0
14713abc47a
15413a36245
hex26fb976cc

10464360140 has 96 divisors (see below), whose sum is σ = 24732521856. Its totient is φ = 3690086400.

The previous prime is 10464360139. The next prime is 10464360157. The reversal of 10464360140 is 4106346401.

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, 6535340 + ... + 6536940.

It is an arithmetic number, because the mean of its divisors is an integer number (257630436).

Almost surely, 210464360140 is an apocalyptic number.

10464360140 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 10464360140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366260928).

10464360140 is an abundant number, since it is smaller than the sum of its proper divisors (14268161716).

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

10464360140 is a wasteful number, since it uses less digits than its factorization.

10464360140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 10464360140 in words is "ten billion, four hundred sixty-four million, three hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1093 1196 1495 1601 2186 2990 3202 4372 5465 5980 6404 8005 10930 14209 16010 20813 21860 25139 28418 32020 36823 41626 50278 56836 71045 73646 83252 100556 104065 125695 142090 147292 184115 208130 251390 284180 326807 368230 416260 478699 502780 653614 736460 957398 1307228 1634035 1749893 1914796 2393495 3268070 3499786 4786990 6536140 6999572 8749465 9573980 17498930 22748609 34997860 40247539 45497218 80495078 90994436 113743045 160990156 201237695 227486090 402475390 454972180 523218007 804950780 1046436014 2092872028 2616090035 5232180070 10464360140