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20645824140 = 22325199576377
BaseRepresentation
bin10011001110100101…
…100100011010001100
31222021211202112102100
4103032211210122030
5314240312333030
613252355355100
71330423416054
oct231645443214
958254675370
1020645824140
118835036287
1240022b2a90
131c40428cb6
14ddbd9a564
1580c7db360
hex4ce96468c

20645824140 has 72 divisors (see below), whose sum is σ = 62940477600. Its totient is φ = 5477877504.

The previous prime is 20645824117. The next prime is 20645824153. The reversal of 20645824140 is 4142854602.

20645824140 is a `hidden beast` number, since 2 + 0 + 64 + 582 + 4 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20645824095 and 20645824104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252369 + ... + 324008.

It is an arithmetic number, because the mean of its divisors is an integer number (874173300).

Almost surely, 220645824140 is an apocalyptic number.

20645824140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20645824140 is an abundant number, since it is smaller than the sum of its proper divisors (42294653460).

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

20645824140 is a wasteful number, since it uses less digits than its factorization.

20645824140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576591 (or 576586 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 20645824140 in words is "twenty billion, six hundred forty-five million, eight hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2985 3582 3980 5970 7164 8955 11940 17910 35820 576377 1152754 1729131 2305508 2881885 3458262 5187393 5763770 6916524 8645655 10374786 11527540 17291310 20749572 25936965 34582620 51873930 103747860 114699023 229398046 344097069 458796092 573495115 688194138 1032291207 1146990230 1376388276 1720485345 2064582414 2293980460 3440970690 4129164828 5161456035 6881941380 10322912070 20645824140