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113237574016 = 277367344363
BaseRepresentation
bin110100101110101111…
…1000100000110000000
3101211021201110202222211
41221131133010012000
53323402304332031
6124004242111504
711116063332520
oct1513537040600
9354251422884
10113237574016
1144029727416
1219b4304b594
13a8a8192c88
1456a318d680
152e2b468bb1
hex1a5d7c4180

113237574016 has 64 divisors (see below), whose sum is σ = 258520942080. Its totient is φ = 48398012928.

The previous prime is 113237574013. The next prime is 113237574017. The reversal of 113237574016 is 610475732311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 113237574016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113237574013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156651 + ... + 501013.

It is an arithmetic number, because the mean of its divisors is an integer number (4039389720).

Almost surely, 2113237574016 is an apocalyptic number.

113237574016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113237574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129260471040).

113237574016 is an abundant number, since it is smaller than the sum of its proper divisors (145283368064).

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

113237574016 is an equidigital number, since it uses as much as digits as its factorization.

113237574016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344751 (or 344739 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 113237574016 in words is "one hundred thirteen billion, two hundred thirty-seven million, five hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 367 448 734 896 1468 2569 2936 5138 5872 10276 11744 20552 23488 41104 46976 82208 164416 328832 344363 688726 1377452 2410541 2754904 4821082 5509808 9642164 11019616 19284328 22039232 38568656 44078464 77137312 126381221 154274624 252762442 308549248 505524884 884668547 1011049768 1769337094 2022099536 3538674188 4044199072 7077348376 8088398144 14154696752 16176796288 28309393504 56618787008 113237574016