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113068097536 = 214372712
BaseRepresentation
bin110100101001101100…
…0100100000000000000
3101210211220120110222011
41221103120210000000
53323030413110121
6123535345422304
711111634654142
oct1512330440000
9353756513864
10113068097536
1143a51aa2209
1219ab633a994
13a87c035034
145688874c92
152e1b63d7e1
hex1a53624000

113068097536 has 135 divisors (see below), whose sum is σ = 235725503097. Its totient is φ = 54231367680.

The previous prime is 113068097531. The next prime is 113068097561. The reversal of 113068097536 is 635790860311.

The square root of 113068097536 is 336256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 101174886400 + 11893211136 = 318080^2 + 109056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113068097536.

It is not an unprimeable number, because it can be changed into a prime (113068097531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1592508381 + ... + 1592508451.

Almost surely, 2113068097536 is an apocalyptic number.

113068097536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113068097536 is the 336256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113068097536

113068097536 is an abundant number, since it is smaller than the sum of its proper divisors (122657405561).

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

113068097536 is an frugal number, since it uses more digits than its factorization.

113068097536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 113068097536 by its sum of digits (49), we get a square (5540336779264 = 23537922).

The spelling of 113068097536 in words is "one hundred thirteen billion, sixty-eight million, ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 71 74 128 142 148 256 284 296 512 568 592 1024 1136 1184 1369 2048 2272 2368 2627 2738 4096 4544 4736 5041 5254 5476 8192 9088 9472 10082 10508 10952 16384 18176 18944 20164 21016 21904 36352 37888 40328 42032 43808 72704 75776 80656 84064 87616 97199 145408 151552 161312 168128 175232 186517 194398 290816 303104 322624 336256 350464 373034 388796 581632 606208 645248 672512 700928 746068 777592 1163264 1290496 1345024 1401856 1492136 1555184 2580992 2690048 2803712 2984272 3110368 5161984 5380096 5607424 5968544 6220736 6901129 10323968 10760192 11214848 11937088 12441472 13802258 20647936 21520384 22429696 23874176 24882944 27604516 41295872 43040768 47748352 49765888 55209032 82591744 95496704 99531776 110418064 190993408 199063552 220836128 381986816 398127104 441672256 763973632 796254208 883344512 1527947264 1592508416 1766689024 3055894528 3533378048 7066756096 14133512192 28267024384 56534048768 113068097536