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203442193152 = 2832113128353
BaseRepresentation
bin1011110101111000011…
…0011000001100000000
3201110010020101012210200
42331132012120030000
511313122200140102
6233243212125200
720461326052362
oct2753606301400
9643106335720
10203442193152
11793088a5930
1233518466800
13162524c8b63
149bbd312d32
15545a76351c
hex2f5e198300

203442193152 has 324 divisors, whose sum is σ = 661285831752. Its totient is φ = 59653324800.

The previous prime is 203442193139. The next prime is 203442193153. The reversal of 203442193152 is 251391244302.

203442193152 is a `hidden beast` number, since 20 + 3 + 442 + 193 + 1 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (203442193153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24351408 + ... + 24359760.

Almost surely, 2203442193152 is an apocalyptic number.

203442193152 is a gapful number since it is divisible by the number (22) 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 203442193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330642915876).

203442193152 is an abundant number, since it is smaller than the sum of its proper divisors (457843638600).

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

203442193152 is a wasteful number, since it uses less digits than its factorization.

203442193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8448 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 203442193152 in words is "two hundred three billion, four hundred forty-two million, one hundred ninety-three thousand, one hundred fifty-two".