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203504005432 = 2372131947197227
BaseRepresentation
bin1011110110000111001…
…0001011000100111000
3201110021112200121022101
42331201302023010320
511313234011133212
6233253301033144
720463006335200
oct2754162130470
9643245617271
10203504005432
117933a784362
12335350b57b4
131626225b980
149bc7603400
155460dc3157
hex2f61c8b138

203504005432 has 384 divisors, whose sum is σ = 518758732800. Its totient is φ = 73941009408.

The previous prime is 203504005417. The next prime is 203504005459. The reversal of 203504005432 is 234500405302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 203504005432.

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, 896493303 + ... + 896493529.

It is an arithmetic number, because the mean of its divisors is an integer number (1350934200).

Almost surely, 2203504005432 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 203504005432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259379366400).

203504005432 is an abundant number, since it is smaller than the sum of its proper divisors (315254727368).

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

203504005432 is a wasteful number, since it uses less digits than its factorization.

203504005432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 203504005432 in words is "two hundred three billion, five hundred four million, five thousand, four hundred thirty-two".