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201620741904 = 24322961791489
BaseRepresentation
bin1011101111000110001…
…0000101111100010000
3201021102021222220102100
42323301202011330100
511300404402220104
6232342344120400
720365231013031
oct2736142057420
9637367886370
10201620741904
117856371a61a
12330aa466100
1316022037c5a
149a89454a88
1553a08be139
hex2ef1885f10

201620741904 has 120 divisors (see below), whose sum is σ = 593285074200. Its totient is φ = 63825592320.

The previous prime is 201620741887. The next prime is 201620741951. The reversal of 201620741904 is 409147026102.

It is a happy number.

201620741904 is a `hidden beast` number, since 20 + 1 + 620 + 7 + 4 + 1 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13282101504 + 188338640400 = 115248^2 + 433980^2 .

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

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, 141009 + ... + 650480.

It is an arithmetic number, because the mean of its divisors is an integer number (4944042285).

Almost surely, 2201620741904 is an apocalyptic number.

201620741904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201620741904 is an abundant number, since it is smaller than the sum of its proper divisors (391664332296).

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

201620741904 is a wasteful number, since it uses less digits than its factorization.

201620741904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791593 (or 791584 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 201620741904 in words is "two hundred one billion, six hundred twenty million, seven hundred forty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 61 72 87 116 122 144 174 183 232 244 261 348 366 464 488 522 549 696 732 976 1044 1098 1392 1464 1769 2088 2196 2928 3538 4176 4392 5307 7076 8784 10614 14152 15921 21228 28304 31842 42456 63684 84912 127368 254736 791489 1582978 2374467 3165956 4748934 6331912 7123401 9497868 12663824 14246802 18995736 22953181 28493604 37991472 45906362 48280829 56987208 68859543 91812724 96561658 113974416 137719086 144842487 183625448 193123316 206578629 275438172 289684974 367250896 386246632 413157258 434527461 550876344 579369948 772493264 826314516 869054922 1101752688 1158739896 1400144041 1652629032 1738109844 2317479792 2800288082 3305258064 3476219688 4200432123 5600576164 6952439376 8400864246 11201152328 12601296369 16801728492 22402304656 25202592738 33603456984 50405185476 67206913968 100810370952 201620741904