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20672513472 = 2631353156269
BaseRepresentation
bin10011010000001011…
…011000010111000000
31222100200222111022010
4103100023120113000
5314314130412342
613255151412520
71331166315402
oct232013302700
958320874263
1020672513472
118849105386
12400b224140
131c45b120c0
141001746b72
1580ed0e29c
hex4d02d85c0

20672513472 has 112 divisors (see below), whose sum is σ = 60015180960. Its totient is φ = 6240718848.

The previous prime is 20672513471. The next prime is 20672513489. The reversal of 20672513472 is 27431527602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20672513472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20672513471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54154 + ... + 210422.

It is an arithmetic number, because the mean of its divisors is an integer number (535849830).

Almost surely, 220672513472 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 20672513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30007590480).

20672513472 is an abundant number, since it is smaller than the sum of its proper divisors (39342667488).

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

20672513472 is a wasteful number, since it uses less digits than its factorization.

20672513472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156350 (or 156340 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 20672513472 in words is "twenty billion, six hundred seventy-two million, five hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 156 159 192 208 212 312 318 416 424 624 636 689 832 848 1248 1272 1378 1696 2067 2496 2544 2756 3392 4134 5088 5512 8268 10176 11024 16536 22048 33072 44096 66144 132288 156269 312538 468807 625076 937614 1250152 1875228 2031497 2500304 3750456 4062994 5000608 6094491 7500912 8125988 8282257 10001216 12188982 15001824 16251976 16564514 24377964 24846771 30003648 32503952 33129028 48755928 49693542 65007904 66258056 97511856 99387084 107669341 130015808 132516112 195023712 198774168 215338682 265032224 323008023 390047424 397548336 430677364 530064448 646016046 795096672 861354728 1292032092 1590193344 1722709456 2584064184 3445418912 5168128368 6890837824 10336256736 20672513472