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112451400464 = 24134320036277
BaseRepresentation
bin110100010111010100…
…0000011001100010000
3101202020221011000121212
41220232220003030100
53320300024303324
6123354235435252
711060436063404
oct1505650031420
9352227130555
10112451400464
114376597a607
12199638b5b28
13a7b1341520
14562a9c3104
152dd242370e
hex1a2ea03310

112451400464 has 80 divisors (see below), whose sum is σ = 240248914752. Its totient is φ = 50660273664.

The previous prime is 112451400427. The next prime is 112451400473. The reversal of 112451400464 is 464004154211.

112451400464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112451400464.

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, 17911694 + ... + 17917970.

Almost surely, 2112451400464 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 112451400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120124457376).

112451400464 is an abundant number, since it is smaller than the sum of its proper divisors (127797514288).

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

112451400464 is a wasteful number, since it uses less digits than its factorization.

112451400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 112451400464 its reverse (464004154211), we get a palindrome (576455554675).

The spelling of 112451400464 in words is "one hundred twelve billion, four hundred fifty-one million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 2003 2236 4006 4472 6277 8012 8944 12554 16024 25108 26039 32048 50216 52078 81601 86129 100432 104156 163202 172258 208312 269911 326404 344516 416624 539822 652808 689032 1079644 1119677 1305616 1378064 2159288 2239354 3508843 4318576 4478708 7017686 8957416 12572831 14035372 17914832 25145662 28070744 50291324 56141488 100582648 163446803 201165296 326893606 540631733 653787212 1081263466 1307574424 2162526932 2615148848 4325053864 7028212529 8650107728 14056425058 28112850116 56225700232 112451400464