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203172429824 = 2147132937127
BaseRepresentation
bin1011110100111000000…
…1010100000000000000
3201102102102202211002022
42331032001110000000
511312044120223244
6233200334141012
720451542105360
oct2751601240000
9642372684068
10203172429824
117918a5a3731
1233462051768
131620b6569a0
149b955709a0
155441c286ee
hex2f4e054000

203172429824 has 480 divisors, whose sum is σ = 535512391680. Its totient is φ = 74912366592.

The previous prime is 203172429799. The next prime is 203172429827. The reversal of 203172429824 is 428924271302.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203172429827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599782849 + ... + 1599782975.

It is an arithmetic number, because the mean of its divisors is an integer number (1115650816).

Almost surely, 2203172429824 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 203172429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267756195840).

203172429824 is an abundant number, since it is smaller than the sum of its proper divisors (332339961856).

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

203172429824 is a wasteful number, since it uses less digits than its factorization.

203172429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 203172429824 in words is "two hundred three billion, one hundred seventy-two million, four hundred twenty-nine thousand, eight hundred twenty-four".