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202029988104 = 2335753280121
BaseRepresentation
bin1011110000100111101…
…1001111100100001000
3201022110211001202200000
42330021323033210020
511302224134104404
6232451123443000
720411330364450
oct2741173174410
9638424052600
10202029988104
117875373031a
12331a3526460
1316088a65c79
149ac7944d60
1553c67ac339
hex2f09ecf908

202029988104 has 192 divisors, whose sum is σ = 660729363840. Its totient is φ = 56633541120.

The previous prime is 202029988103. The next prime is 202029988211. The reversal of 202029988104 is 401889920202.

It is a happy number.

202029988104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2020299881042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202029988104.

It is not an unprimeable number, because it can be changed into a prime (202029988103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 581164 + ... + 861284.

It is an arithmetic number, because the mean of its divisors is an integer number (3441298770).

Almost surely, 2202029988104 is an apocalyptic number.

202029988104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202029988104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330364681920).

202029988104 is an abundant number, since it is smaller than the sum of its proper divisors (458699375736).

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

202029988104 is a wasteful number, since it uses less digits than its factorization.

202029988104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280202 (or 280186 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 202029988104 in words is "two hundred two billion, twenty-nine million, nine hundred eighty-eight thousand, one hundred four".