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113768273872 = 241119107317959
BaseRepresentation
bin110100111110100011…
…1100001011111010000
3101212122201002010100001
41221331013201133100
53330444134230442
6124133040535344
711135166241441
oct1517507413720
9355581063301
10113768273872
1144281252040
121a070921554
13a961106766
1457138572c8
152e5cd482b7
hex1a7d1e17d0

113768273872 has 80 divisors (see below), whose sum is σ = 255487219200. Its totient is φ = 48533109120.

The previous prime is 113768273833. The next prime is 113768273897. The reversal of 113768273872 is 278372867311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198829 + ... + 516787.

It is an arithmetic number, because the mean of its divisors is an integer number (3193590240).

Almost surely, 2113768273872 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 113768273872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127743609600).

113768273872 is an abundant number, since it is smaller than the sum of its proper divisors (141718945328).

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

113768273872 is a wasteful number, since it uses less digits than its factorization.

113768273872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318104 (or 318098 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 55.

It can be divided in two parts, 113768 and 273872, that added together give a triangular number (387640 = T880).

The spelling of 113768273872 in words is "one hundred thirteen billion, seven hundred sixty-eight million, two hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 107 152 176 209 214 304 418 428 836 856 1177 1672 1712 2033 2354 3344 4066 4708 8132 9416 16264 18832 22363 32528 44726 89452 178904 317959 357808 635918 1271836 2543672 3497549 5087344 6041221 6995098 12082442 13990196 24164884 27980392 34021613 48329768 55960784 66453431 68043226 96659536 132906862 136086452 265813724 272172904 374237743 531627448 544345808 646410647 748475486 1063254896 1292821294 1496950972 2585642588 2993901944 5171285176 5987803888 7110517117 10342570352 14221034234 28442068468 56884136936 113768273872