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500106116016 = 243213267150703
BaseRepresentation
bin1110100011100001010…
…01011011101110110000
31202210212020212222001100
413101300221123232300
531143204131203031
61021425013404400
751063044563443
oct7216051335660
91683766788040
10500106116016
11183103956a91
1280b10639700
1338210123310
141a2c336765a
15d0200e4de6
hex7470a5bbb0

500106116016 has 60 divisors (see below), whose sum is σ = 1507264271968. Its totient is φ = 153878804352.

The previous prime is 500106115997. The next prime is 500106116017. The reversal of 500106116016 is 610611601005.

500106116016 is a `hidden beast` number, since 50 + 0 + 1 + 0 + 6 + 1 + 1 + 601 + 6 = 666.

500106116016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5001061160162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (500106116017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133573480 + ... + 133577223.

Almost surely, 2500106116016 is an apocalyptic number.

It is an amenable number.

500106116016 is an abundant number, since it is smaller than the sum of its proper divisors (1007158155952).

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

500106116016 is a wasteful number, since it uses less digits than its factorization.

500106116016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267150730 (or 267150721 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 500106116016 in words is "five hundred billion, one hundred six million, one hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 267150703 534301406 801452109 1068602812 1602904218 2137205624 2404356327 3205808436 3472959139 4274411248 4808712654 6411616872 6945918278 9617425308 10418877417 12823233744 13891836556 19234850616 20837754834 27783673112 31256632251 38469701232 41675509668 55567346224 62513264502 83351019336 125026529004 166702038672 250053058008 500106116016