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113482618368 = 293773144583
BaseRepresentation
bin110100110110000010…
…1110101011000000000
3101211220210120022122120
41221230011311120000
53324403022241433
6124044434204240
711125130224530
oct1515405653000
9354823508576
10113482618368
1144144a85909
1219bb1123680
13a916b8bb32
1456c79394c0
152e42c1e7b3
hex1a6c175600

113482618368 has 160 divisors (see below), whose sum is σ = 350249534976. Its totient is φ = 31979225088.

The previous prime is 113482618357. The next prime is 113482618393. The reversal of 113482618368 is 863816284311.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113482618368.

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, 712605 + ... + 857187.

Almost surely, 2113482618368 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 113482618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175124767488).

113482618368 is an abundant number, since it is smaller than the sum of its proper divisors (236766916608).

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

113482618368 is an equidigital number, since it uses as much as digits as its factorization.

113482618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144684 (or 144668 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 113482618368 in words is "one hundred thirteen billion, four hundred eighty-two million, six hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 256 292 336 384 438 448 511 512 584 672 768 876 896 1022 1168 1344 1533 1536 1752 1792 2044 2336 2688 3066 3504 3584 4088 4672 5376 6132 7008 8176 9344 10752 12264 14016 16352 18688 24528 28032 32704 37376 49056 56064 65408 98112 112128 130816 144583 196224 261632 289166 392448 433749 578332 784896 867498 1012081 1156664 1734996 2024162 2313328 3036243 3469992 4048324 4626656 6072486 6939984 8096648 9253312 10554559 12144972 13879968 16193296 18506624 21109118 24289944 27759936 31663677 32386592 37013248 42218236 48579888 55519872 63327354 64773184 73881913 74026496 84436472 97159776 111039744 126654708 129546368 147763826 168872944 194319552 221645739 222079488 253309416 259092736 295527652 337745888 388639104 443291478 506618832 518185472 591055304 675491776 777278208 886582956 1013237664 1182110608 1350983552 1554556416 1773165912 2026475328 2364221216 2701967104 3546331824 4052950656 4728442432 5403934208 7092663648 8105901312 9456884864 14185327296 16211802624 18913769728 28370654592 37827539456 56741309184 113482618368