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68125864080 = 2435283857767
BaseRepresentation
bin111111011100100111…
…100011000010010000
320111211210211110201010
4333130213203002100
52104010210122310
651144021410520
74631136201351
oct773447430220
9214753743633
1068125864080
112698a30200a
1211253269a40
13656909b3a1
143423b61d28
151b8ad11320
hexfdc9e3090

68125864080 has 40 divisors (see below), whose sum is σ = 211190179392. Its totient is φ = 18166897024.

The previous prime is 68125864063. The next prime is 68125864099. The reversal of 68125864080 is 8046852186.

It is a happy number.

68125864080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×681258640802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141928644 + ... + 141929123.

Almost surely, 268125864080 is an apocalyptic number.

68125864080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68125864080 is an abundant number, since it is smaller than the sum of its proper divisors (143064315312).

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

68125864080 is a wasteful number, since it uses less digits than its factorization.

68125864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283857783 (or 283857777 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 68125864080 in words is "sixty-eight billion, one hundred twenty-five million, eight hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283857767 567715534 851573301 1135431068 1419288835 1703146602 2270862136 2838577670 3406293204 4257866505 4541724272 5677155340 6812586408 8515733010 11354310680 13625172816 17031466020 22708621360 34062932040 68125864080