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202114421234968 = 231122571101756891
BaseRepresentation
bin101101111101001001101110…
…010010000001110100011000
3222111121221122112012220002211
4231331021232102001310120
5202442420313314004333
61553510025554404504
760400166526263104
oct5575115622016430
9874557575186084
10202114421234968
1159444276747540
121a803166890734
1388a1400ca96c8
1437ca56693c904
1518576d7394ecd
hexb7d26e481d18

202114421234968 has 32 divisors (see below), whose sum is σ = 413434181920320. Its totient is φ = 91866120292000.

The previous prime is 202114421234933. The next prime is 202114421235047. The reversal of 202114421234968 is 869432124411202.

It is a super-2 number, since 2×2021144212349682 (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 48892198 + ... + 52864693.

It is an arithmetic number, because the mean of its divisors is an integer number (12919818185010).

Almost surely, 2202114421234968 is an apocalyptic number.

It is an amenable number.

202114421234968 is an abundant number, since it is smaller than the sum of its proper divisors (211319760685352).

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

202114421234968 is a wasteful number, since it uses less digits than its factorization.

202114421234968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101779479 (or 101779475 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 202114421234968 in words is "two hundred two trillion, one hundred fourteen billion, four hundred twenty-one million, two hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 22571 45142 90284 180568 248281 496562 993124 1986248 101756891 203513782 407027564 814055128 1119325801 2238651602 4477303204 8954606408 2296754786761 4593509573522 9187019147044 18374038294088 25264302654371 50528605308742 101057210617484 202114421234968