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113034964480 = 295379711229
BaseRepresentation
bin110100101000101101…
…0001010111000000000
3101210202121020010221221
41221101122022320000
53322443422330410
6123532203324424
711111053226254
oct1512132127000
9353677203857
10113034964480
1143a35321919
1219aa7220714
13a875203c89
1456842cc264
152e187964da
hex1a5168ae00

113034964480 has 160 divisors (see below), whose sum is σ = 278857196640. Its totient is φ = 43910922240.

The previous prime is 113034964477. The next prime is 113034964481. The reversal of 113034964480 is 84469430311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113034964481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91972506 + ... + 91973734.

It is an arithmetic number, because the mean of its divisors is an integer number (1742857479).

Almost surely, 2113034964480 is an apocalyptic number.

113034964480 is a gapful number since it is divisible by the number (10) 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 113034964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139428598320).

113034964480 is an abundant number, since it is smaller than the sum of its proper divisors (165822232160).

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

113034964480 is an equidigital number, since it uses as much as digits as its factorization.

113034964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 113034964480 in words is "one hundred thirteen billion, thirty-four million, nine hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 971 1184 1229 1280 1480 1942 2368 2458 2560 2960 3884 4736 4855 4916 5920 6145 7768 9472 9710 9832 11840 12290 15536 18944 19420 19664 23680 24580 31072 35927 38840 39328 45473 47360 49160 62144 71854 77680 78656 90946 94720 98320 124288 143708 155360 157312 179635 181892 196640 227365 248576 287416 310720 314624 359270 363784 393280 454730 497152 574832 621440 629248 718540 727568 786560 909460 1149664 1193359 1242880 1437080 1455136 1573120 1818920 2299328 2386718 2485760 2874160 2910272 3146240 3637840 4598656 4773436 5748320 5820544 5966795 7275680 9197312 9546872 11496640 11641088 11933590 14551360 18394624 19093744 22993280 23282176 23867180 29102720 38187488 44154283 45986560 47734360 58205440 76374976 88308566 91973120 95468720 116410880 152749952 176617132 190937440 220771415 305499904 353234264 381874880 441542830 610999808 706468528 763749760 883085660 1412937056 1527499520 1766171320 2825874112 3054999040 3532342640 5651748224 7064685280 11303496448 14129370560 22606992896 28258741120 56517482240 113034964480