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20514953472 = 2831310311993
BaseRepresentation
bin10011000110110010…
…010101100100000000
31221221201111121121120
4103012302111210000
5314003312002342
613231402352240
71324244140656
oct230662254400
957851447546
1020514953472
11877817a202
123b864bb680
131c1c297130
14dc8850dd6
15801089aec
hex4c6c95900

20514953472 has 144 divisors (see below), whose sum is σ = 58886233728. Its totient is φ = 6303006720.

The previous prime is 20514953453. The next prime is 20514953489. The reversal of 20514953472 is 27435941502.

It is a happy number.

It is an unprimeable number.

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, 10292508 + ... + 10294500.

Almost surely, 220514953472 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 20514953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443116864).

20514953472 is an abundant number, since it is smaller than the sum of its proper divisors (38371280256).

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

20514953472 is a wasteful number, since it uses less digits than its factorization.

20514953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 20514953472 in words is "twenty billion, five hundred fourteen million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1031 1248 1664 1993 2062 2496 3093 3328 3986 4124 4992 5979 6186 7972 8248 9984 11958 12372 13403 15944 16496 23916 24744 25909 26806 31888 32992 40209 47832 49488 51818 53612 63776 65984 77727 80418 95664 98976 103636 107224 127552 131968 155454 160836 191328 197952 207272 214448 255104 263936 310908 321672 382656 395904 414544 428896 510208 621816 643344 765312 791808 829088 857792 1243632 1286688 1530624 1658176 1715584 2054783 2487264 2573376 3316352 3431168 4109566 4974528 5146752 6164349 6632704 8219132 9949056 10293504 12328698 16438264 19898112 24657396 26712179 32876528 49314792 53424358 65753056 80136537 98629584 106848716 131506112 160273074 197259168 213697432 263012224 320546148 394518336 427394864 526024448 641092296 789036672 854789728 1282184592 1578073344 1709579456 2564369184 3419158912 5128738368 6838317824 10257476736 20514953472