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68501562120 = 23325190282117
BaseRepresentation
bin111111110011000000…
…101110001100001000
320112210222202220112100
4333303000232030020
52110242344441440
651245202113400
74643350446045
oct776300561410
9215728686470
1068501562120
1127062389562
121133904b860
1365c8b81414
14345b9dc1cc
151badcc4230
hexff302e308

68501562120 has 48 divisors (see below), whose sum is σ = 222630078060. Its totient is φ = 18267083136.

The previous prime is 68501562037. The next prime is 68501562137. The reversal of 68501562120 is 2126510586.

68501562120 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 1 + 5 + 621 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67661373924 + 840188196 = 260118^2 + 28986^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95140699 + ... + 95141418.

Almost surely, 268501562120 is an apocalyptic number.

68501562120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68501562120 is an abundant number, since it is smaller than the sum of its proper divisors (154128515940).

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

68501562120 is a wasteful number, since it uses less digits than its factorization.

68501562120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190282134 (or 190282127 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 68501562120 in words is "sixty-eight billion, five hundred one million, five hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 190282117 380564234 570846351 761128468 951410585 1141692702 1522256936 1712539053 1902821170 2283385404 2854231755 3425078106 3805642340 4566770808 5708463510 6850156212 7611284680 8562695265 11416927020 13700312424 17125390530 22833854040 34250781060 68501562120