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10224640896 = 27329918161
BaseRepresentation
bin10011000010110111…
…11010001110000000
3222101120110120111120
421201123322032000
5131420002002041
64410325312240
7511243004451
oct114133721600
928346416446
1010224640896
1143775a8048
121b94265680
13c6c3c1392
146cdd1b128
153ec983366
hex2616fa380

10224640896 has 64 divisors (see below), whose sum is σ = 28095757200. Its totient is φ = 3290685440.

The previous prime is 10224640891. The next prime is 10224640901. The reversal of 10224640896 is 69804642201.

It is an interprime number because it is at equal distance from previous prime (10224640891) and next prime (10224640901).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224640891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447945 + ... + 470216.

Almost surely, 210224640896 is an apocalyptic number.

10224640896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10224640896 is an abundant number, since it is smaller than the sum of its proper divisors (17871116304).

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

10224640896 is an equidigital number, since it uses as much as digits as its factorization.

10224640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918207 (or 918195 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10224640896 in words is "ten billion, two hundred twenty-four million, six hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 918161 1836322 2754483 3672644 5508966 7345288 11017932 14690576 22035864 26626669 29381152 44071728 53253338 58762304 79880007 88143456 106506676 117524608 159760014 176286912 213013352 319520028 352573824 426026704 639040056 852053408 1278080112 1704106816 2556160224 3408213632 5112320448 10224640896