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5814116917504 = 2872215292
BaseRepresentation
bin101010010011011010001…
…0111111010000100000000
3202120211020210201120122021
41110212310113322010000
51230224302412330004
620210545103251224
71140025144245100
oct124466427720400
922524223646567
105814116917504
111941831476325
1279a993ba9b14
1333236593765c
1416159493b200
15a138a03dd54
hex549b45fa100

5814116917504 has 81 divisors (see below), whose sum is σ = 13500928719117. Its totient is φ = 2491648653312.

The previous prime is 5814116917457. The next prime is 5814116917559. The reversal of 5814116917504 is 4057196114185.

The square root of 5814116917504 is 2411248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 955795611904 + 4858321305600 = 977648^2 + 2204160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 270049012 + ... + 270070540.

Almost surely, 25814116917504 is an apocalyptic number.

5814116917504 is the 2411248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5814116917504

5814116917504 is an abundant number, since it is smaller than the sum of its proper divisors (7686811801613).

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

5814116917504 is an frugal number, since it uses more digits than its factorization.

5814116917504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43088 (or 21538 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 52.

The spelling of 5814116917504 in words is "five trillion, eight hundred fourteen billion, one hundred sixteen million, nine hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 21529 43058 86116 150703 172232 301406 344464 602812 688928 1054921 1205624 1377856 2109842 2411248 2755712 4219684 4822496 5511424 8439368 9644992 16878736 19289984 33757472 38579968 67514944 135029888 270059776 463497841 926995682 1853991364 3244484887 3707982728 6488969774 7415965456 12977939548 14831930912 22711394209 25955879096 29663861824 45422788418 51911758192 59327723648 90845576836 103823516384 118655447296 181691153672 207647032768 363382307344 415294065536 726764614688 830588131072 1453529229376 2907058458752 5814116917504