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113493684420 = 223251495717411
BaseRepresentation
bin110100110110011000…
…0000011000011000100
3101211221120101112102100
41221230300003003010
53324413340400140
6124045511312100
711125323254214
oct1515460030304
9354846345370
10113493684420
1144150253a06
1219bb497b630
13a9192649ac
1456c91ba244
152e43ba8530
hex1a6cc030c4

113493684420 has 144 divisors (see below), whose sum is σ = 347228481600. Its totient is φ = 30005164800.

The previous prime is 113493684407. The next prime is 113493684481. The reversal of 113493684420 is 24486394311.

113493684420 is a `hidden beast` number, since 1 + 134 + 93 + 6 + 8 + 4 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15310515 + ... + 15317925.

It is an arithmetic number, because the mean of its divisors is an integer number (2411308900).

Almost surely, 2113493684420 is an apocalyptic number.

113493684420 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 113493684420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173614240800).

113493684420 is an abundant number, since it is smaller than the sum of its proper divisors (233734797180).

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

113493684420 is a wasteful number, since it uses less digits than its factorization.

113493684420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146 (or 8141 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 113493684420 in words is "one hundred thirteen billion, four hundred ninety-three million, six hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 571 596 745 894 1142 1341 1490 1713 1788 2235 2284 2682 2855 2980 3426 4470 5139 5364 5710 6705 6852 7411 8565 8940 10278 11420 13410 14822 17130 20556 22233 25695 26820 29644 34260 37055 44466 51390 66699 74110 85079 88932 102780 111165 133398 148220 170158 222330 255237 266796 333495 340316 425395 444660 510474 666990 765711 850790 1020948 1104239 1276185 1333980 1531422 1701580 2208478 2552370 3062844 3312717 3828555 4231681 4416956 5104740 5521195 6625434 7657110 8463362 9938151 11042390 12695043 13250868 15314220 16563585 16926724 19876302 21158405 22084780 25390086 33127170 38085129 39752604 42316810 49690755 50780172 63475215 66254340 76170258 84633620 99381510 126950430 152340516 190425645 198763020 253900860 380851290 630520469 761702580 1261040938 1891561407 2522081876 3152602345 3783122814 5674684221 6305204690 7566245628 9457807035 11349368442 12610409380 18915614070 22698736884 28373421105 37831228140 56746842210 113493684420