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200725620480 = 2835571117229
BaseRepresentation
bin1011101011110000101…
…1011110011100000000
3201012002220200000200000
42322330023132130000
511242041224323410
6232113450400000
720334111423420
oct2727413363400
9635086600600
10200725620480
117814441a650
1232a9a730000
1315c0b75bcc8
149a02608480
15534c007dc0
hex2ebc2de700

200725620480 has 2592 divisors, whose sum is σ = 986743779840. Its totient is φ = 37902090240.

The previous prime is 200725620457. The next prime is 200725620503. The reversal of 200725620480 is 84026527002.

200725620480 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 25 + 620 + 4 + 8 + 0 = 666.

200725620480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200725620457) and next prime (200725620503).

It is a tau number, because it is divible by the number of its divisors (2592).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6921573106 + ... + 6921573134.

Almost surely, 2200725620480 is an apocalyptic number.

200725620480 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 200725620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493371889920).

200725620480 is an abundant number, since it is smaller than the sum of its proper divisors (786018159360).

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

200725620480 is a wasteful number, since it uses less digits than its factorization.

200725620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 200725620480 in words is "two hundred billion, seven hundred twenty-five million, six hundred twenty thousand, four hundred eighty".