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572038080768 = 2835711307389
BaseRepresentation
bin10000101001100000010…
…00000110100100000000
32000200112022120101100000
420110300020012210000
533333013222041033
61114442441200000
756220431313420
oct10246010064400
92020468511300
10572038080768
11200666646840
1292a46490000
1341c348b387b
141d9887a8480
15ed30129a13
hex8530206900

572038080768 has 864 divisors, whose sum is σ = 2144908846080. Its totient is φ = 147716628480.

The previous prime is 572038080749. The next prime is 572038080787. The reversal of 572038080768 is 867080830275.

572038080768 is a `hidden beast` number, since 572 + 0 + 3 + 8 + 0 + 8 + 0 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (572038080749) and next prime (572038080787).

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 1470534718 + ... + 1470535106.

Almost surely, 2572038080768 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 572038080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072454423040).

572038080768 is an abundant number, since it is smaller than the sum of its proper divisors (1572870765312).

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

572038080768 is a wasteful number, since it uses less digits than its factorization.

572038080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 572038080768 in words is "five hundred seventy-two billion, thirty-eight million, eighty thousand, seven hundred sixty-eight".