Search a number
-
+
113707688248 = 237111715171909
BaseRepresentation
bin110100111100110000…
…0011010000100111000
3101212111111002001111001
41221321200122010320
53330333132010443
6124123034214344
711133532255120
oct1517140320470
9355444061431
10113707688248
1144250031180
121a0545843b4
13a9516b308b
1457097a5c80
152e5787bd4d
hex1a7981a138

113707688248 has 128 divisors (see below), whose sum is σ = 283313894400. Its totient is φ = 41419008000.

The previous prime is 113707688219. The next prime is 113707688251. The reversal of 113707688248 is 842886707311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545318 + ... + 1617226.

It is an arithmetic number, because the mean of its divisors is an integer number (2213389800).

Almost surely, 2113707688248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113707688248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141656947200).

113707688248 is an abundant number, since it is smaller than the sum of its proper divisors (169606206152).

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

113707688248 is a wasteful number, since it uses less digits than its factorization.

113707688248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72101 (or 72097 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 113707688248 in words is "one hundred thirteen billion, seven hundred seven million, six hundred eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 151 154 187 238 302 308 374 476 604 616 748 952 1057 1208 1309 1496 1661 2114 2567 2618 3322 4228 5134 5236 6644 8456 10268 10472 11627 13288 17969 20536 23254 28237 35938 46508 56474 71876 71909 93016 112948 143752 143818 197659 225896 287636 395318 503363 575272 790636 790999 1006726 1222453 1581272 1581998 2013452 2444906 3163996 4026904 4889812 5536993 6327992 8557171 9779624 10858259 11073986 13446983 17114342 21716518 22147972 26893966 34228684 43433036 44295944 53787932 68457368 76007813 86866072 94128881 107575864 119440849 152015626 184590403 188257762 238881698 304031252 369180806 376515524 477763396 608062504 738361612 753031048 836085943 955526792 1292132821 1476723224 1672171886 2030494433 2584265642 3344343772 4060988866 5168531284 6688687544 8121977732 10337062568 14213461031 16243955464 28426922062 56853844124 113707688248