Search a number
-
+
202693474872 = 23337229660377
BaseRepresentation
bin1011110011000101111…
…0001111101000111000
3201101012001112101102000
42330301132033220320
511310104012143442
6233041024341000
720433635052300
oct2746136175070
9641161471360
10202693474872
1178a64200799
1233349774760
131616335c8a5
149b4bad6600
155414b6ad4c
hex2f3178fa38

202693474872 has 192 divisors, whose sum is σ = 677547828000. Its totient is φ = 55915356672.

The previous prime is 202693474861. The next prime is 202693474903. The reversal of 202693474872 is 278474396202.

202693474872 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 93 + 474 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23253 + ... + 637124.

Almost surely, 2202693474872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202693474872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338773914000).

202693474872 is an abundant number, since it is smaller than the sum of its proper divisors (474854353128).

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

202693474872 is a wasteful number, since it uses less digits than its factorization.

202693474872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660435 (or 660418 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 202693474872 in words is "two hundred two billion, six hundred ninety-three million, four hundred seventy-four thousand, eight hundred seventy-two".