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202143553920 = 273257111572903
BaseRepresentation
bin1011110001000010110…
…0011101100110000000
3201022202201202111200100
42330100230131212000
511302442222211140
6232510301522400
720414206600230
oct2742054354600
9638681674610
10202143553920
1178801847a70
1233215573400
13160a6449389
149ad8a67cc0
1553d1741530
hex2f10b1d980

202143553920 has 768 divisors, whose sum is σ = 876112174080. Its totient is φ = 41721937920.

The previous prime is 202143553891. The next prime is 202143553957. The reversal of 202143553920 is 29355341202.

202143553920 is a `hidden beast` number, since 2 + 0 + 2 + 14 + 3 + 553 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69631189 + ... + 69634091.

It is an arithmetic number, because the mean of its divisors is an integer number (1140771060).

Almost surely, 2202143553920 is an apocalyptic number.

202143553920 is a gapful number since it is divisible by the number (20) 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 202143553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438056087040).

202143553920 is an abundant number, since it is smaller than the sum of its proper divisors (673968620160).

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

202143553920 is a wasteful number, since it uses less digits than its factorization.

202143553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 202143553920 in words is "two hundred two billion, one hundred forty-three million, five hundred fifty-three thousand, nine hundred twenty".