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499969254816 = 2534349955127
BaseRepresentation
bin1110100011010000111…
…11010110010110100000
31202210111201100200210000
413101220133112112200
531142414112123231
61021403244140000
751056463355263
oct7215037262640
91683451320700
10499969254816
11183043679159
1280a92837600
13381ba974865
141a2ad0dccda
15d0130ad6e6
hex74687d65a0

499969254816 has 120 divisors (see below), whose sum is σ = 1470842604000. Its totient is φ = 166605766272.

The previous prime is 499969254797. The next prime is 499969254859. The reversal of 499969254816 is 618452969994.

499969254816 is a `hidden beast` number, since 4 + 9 + 9 + 9 + 69 + 2 + 548 + 16 = 666.

It is a super-2 number, since 2×4999692548162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9041845 + ... + 9096971.

It is an arithmetic number, because the mean of its divisors is an integer number (12257021700).

Almost surely, 2499969254816 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 499969254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735421302000).

499969254816 is an abundant number, since it is smaller than the sum of its proper divisors (970873349184).

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

499969254816 is a wasteful number, since it uses less digits than its factorization.

499969254816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58648 (or 58631 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 499969254816 in words is "four hundred ninety-nine billion, nine hundred sixty-nine million, two hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3499 6998 10497 13996 20994 27992 31491 41988 55127 55984 62982 83976 94473 110254 111968 125964 165381 167952 188946 220508 251928 283419 330762 335904 377892 441016 496143 503856 566838 661524 755784 882032 992286 1007712 1133676 1323048 1488429 1511568 1764064 1984572 2267352 2646096 2976858 3023136 3969144 4465287 4534704 5292192 5953716 7938288 8930574 9069408 11907432 15876576 17861148 23814864 35722296 47629728 71444592 142889184 192889373 385778746 578668119 771557492 1157336238 1543114984 1736004357 2314672476 3086229968 3472008714 4629344952 5208013071 6172459936 6944017428 9258689904 10416026142 13888034856 15624039213 18517379808 20832052284 27776069712 31248078426 41664104568 55552139424 62496156852 83328209136 124992313704 166656418272 249984627408 499969254816