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109738205472 = 2537315267771
BaseRepresentation
bin110011000110011101…
…0000010000100100000
3101111020211210102210110
41212030322002010200
53244220440033342
6122225114331320
710633262233050
oct1461472020440
9344224712713
10109738205472
11425a33a0aa5
1219327129b40
13a46b1b7bbc
145450517560
152cc4133c9c
hex198ce82120

109738205472 has 96 divisors (see below), whose sum is σ = 339834507264. Its totient is φ = 30342355200.

The previous prime is 109738205471. The next prime is 109738205509. The reversal of 109738205472 is 274502837901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (109738205471) 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, 2613054 + ... + 2654717.

It is an arithmetic number, because the mean of its divisors is an integer number (3539942784).

Almost surely, 2109738205472 is an apocalyptic number.

109738205472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109738205472 is an abundant number, since it is smaller than the sum of its proper divisors (230096301792).

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

109738205472 is a wasteful number, since it uses less digits than its factorization.

109738205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267822 (or 5267814 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 109738205472 in words is "one hundred nine billion, seven hundred thirty-eight million, two hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 5267771 10535542 15803313 21071084 31606626 36874397 42142168 63213252 73748794 84284336 110623191 126426504 147497588 163300901 168568672 221246382 252853008 294995176 326601802 442492764 489902703 505706016 589990352 653203604 884985528 979805406 1143106307 1179980704 1306407208 1769971056 1959610812 2286212614 2612814416 3429318921 3539942112 3919221624 4572425228 5225628832 6858637842 7838443248 9144850456 13717275684 15676886496 18289700912 27434551368 36579401824 54869102736 109738205472