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20291311272 = 23397101211409
BaseRepresentation
bin10010111001011101…
…001101011010101000
31221101010200102012010
4102321131031122220
5313024033430042
613153253115520
71315560204621
oct227135153250
957333612163
1020291311272
118672a09541
123b23628ba0
131bb4b5297b
14da6c76a48
157db61059c
hex4b974d6a8

20291311272 has 128 divisors (see below), whose sum is σ = 52131139200. Its totient is φ = 6580224000.

The previous prime is 20291311259. The next prime is 20291311291. The reversal of 20291311272 is 27211319202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49611804 + ... + 49612212.

It is an arithmetic number, because the mean of its divisors is an integer number (407274525).

Almost surely, 220291311272 is an apocalyptic number.

It is an amenable number.

20291311272 is an abundant number, since it is smaller than the sum of its proper divisors (31839827928).

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

20291311272 is a wasteful number, since it uses less digits than its factorization.

20291311272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

It can be divided in two parts, 202913 and 11272, that added together give a triangular number (214185 = T654).

The spelling of 20291311272 in words is "twenty billion, two hundred ninety-one million, three hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 97 101 194 202 211 291 303 388 404 409 422 582 606 633 776 808 818 844 1164 1212 1227 1266 1636 1688 2328 2424 2454 2532 3272 4908 5064 9797 9816 19594 20467 21311 29391 39188 39673 40934 41309 42622 58782 61401 63933 78376 79346 81868 82618 85244 86299 117564 119019 122802 123927 127866 158692 163736 165236 170488 172598 235128 238038 245604 247854 255732 258897 317384 330472 345196 476076 491208 495708 511464 517794 690392 952152 991416 1035588 2067167 2071176 4006973 4134334 6201501 8013946 8268668 8371003 8716199 12020919 12403002 16027892 16537336 16742006 17432398 24041838 24806004 25113009 26148597 32055784 33484012 34864796 48083676 49612008 50226018 52297194 66968024 69729592 96167352 100452036 104594388 200904072 209188776 845471303 1690942606 2536413909 3381885212 5072827818 6763770424 10145655636 20291311272