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200153052814680 = 233257371172139877
BaseRepresentation
bin101101100000100111000011…
…100111010001110101011000
3222020200110000101111121220100
4231200213003213101311120
5202213301423010032210
61545405013150255400
760105403143631230
oct5540470347216530
9866613011447810
10200153052814680
1158858484375339
121a5470044b7560
13878b476155154
14375d660a08cc0
151821690b965c0
hexb609c39d1d58

200153052814680 has 192 divisors, whose sum is σ = 743446001413440. Its totient is φ = 45748015266816.

The previous prime is 200153052814619. The next prime is 200153052814709. The reversal of 200153052814680 is 86418250351002.

200153052814680 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 5 + 3 + 0 + 528 + 1 + 46 + 80 = 666.

It is a super-2 number, since 2×2001530528146802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92464902 + ... + 94604778.

It is an arithmetic number, because the mean of its divisors is an integer number (3872114590695).

Almost surely, 2200153052814680 is an apocalyptic number.

200153052814680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200153052814680 is an abundant number, since it is smaller than the sum of its proper divisors (543292948598760).

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

200153052814680 is a wasteful number, since it uses less digits than its factorization.

200153052814680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177018 (or 2177011 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 200153052814680 in words is "two hundred trillion, one hundred fifty-three billion, fifty-two million, eight hundred fourteen thousand, six hundred eighty".