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193442784912 = 243213372792833
BaseRepresentation
bin1011010000101000010…
…1101010011010010000
3200111022100201122102100
42310022011222122100
511132132323104122
6224511050120400
716655456353566
oct2641205523220
9614270648370
10193442784912
1175047455483
12315a7720100
131531a987b50
1495112a5a36
155072970aac
hex2d0a16a690

193442784912 has 120 divisors (see below), whose sum is σ = 598772438264. Its totient is φ = 57912164352.

The previous prime is 193442784901. The next prime is 193442784943. The reversal of 193442784912 is 219487244391.

193442784912 is a `hidden beast` number, since 1 + 93 + 44 + 27 + 8 + 491 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91032544656 + 102410240256 = 301716^2 + 320016^2 .

It is a super-2 number, since 2×1934427849122 (a number of 23 digits) contains 22 as substring.

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, 1327153 + ... + 1465680.

Almost surely, 2193442784912 is an apocalyptic number.

193442784912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193442784912 is an abundant number, since it is smaller than the sum of its proper divisors (405329653352).

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

193442784912 is a wasteful number, since it uses less digits than its factorization.

193442784912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792897 (or 2792888 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 193442784912 in words is "one hundred ninety-three billion, four hundred forty-two million, seven hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 888 936 962 1332 1443 1776 1872 1924 2664 2886 3848 4329 5328 5772 7696 8658 11544 17316 23088 34632 69264 2792833 5585666 8378499 11171332 16756998 22342664 25135497 33513996 36306829 44685328 50270994 67027992 72613658 100541988 103334821 108920487 134055984 145227316 201083976 206669642 217840974 290454632 310004463 326761461 402167952 413339284 435681948 580909264 620008926 653522922 826678568 871363896 930013389 1240017852 1307045844 1343352673 1653357136 1742727792 1860026778 2480035704 2614091688 2686705346 3720053556 4030058019 4960071408 5228183376 5373410692 7440107112 8060116038 10746821384 12090174057 14880214224 16120232076 21493642768 24180348114 32240464152 48360696228 64480928304 96721392456 193442784912