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10232680480 = 2551123512473
BaseRepresentation
bin10011000011110101…
…00101000000100000
3222102010121000201221
421201322211000200
5131424031233410
64411213504424
7511401230461
oct114172450040
928363530657
1010232680480
114381099330
121b96aa2114
13c70c77829
146d1010d68
153ed5204da
hex261ea5020

10232680480 has 96 divisors (see below), whose sum is σ = 26394294528. Its totient is φ = 3717888000.

The previous prime is 10232680453. The next prime is 10232680553. The reversal of 10232680480 is 8408623201.

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, 4136524 + ... + 4138996.

It is an arithmetic number, because the mean of its divisors is an integer number (274940568).

Almost surely, 210232680480 is an apocalyptic number.

10232680480 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 10232680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197147264).

10232680480 is an abundant number, since it is smaller than the sum of its proper divisors (16161614048).

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

10232680480 is a wasteful number, since it uses less digits than its factorization.

10232680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 10232680480 in words is "ten billion, two hundred thirty-two million, six hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2351 2473 4702 4946 9404 9892 11755 12365 18808 19784 23510 24730 25861 27203 37616 39568 47020 49460 51722 54406 75232 79136 94040 98920 103444 108812 129305 136015 188080 197840 206888 217624 258610 272030 376160 395680 413776 435248 517220 544060 827552 870496 1034440 1088120 2068880 2176240 4137760 4352480 5814023 11628046 23256092 29070115 46512184 58140230 63954253 93024368 116280460 127908506 186048736 232560920 255817012 319771265 465121840 511634024 639542530 930243680 1023268048 1279085060 2046536096 2558170120 5116340240 10232680480