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561272197920 = 2535723103107659
BaseRepresentation
bin10000010101011100110…
…11100001001100100000
31222122202000122212110020
420022232123201030200
533143441140313140
61105502255033440
755356563652030
oct10125633411440
91878660585406
10561272197920
111a70415836a5
1290940b0b880
1340c0a32a4a5
141d246a3b8c0
15e8eedd36d0
hex82ae6e1320

561272197920 has 768 divisors, whose sum is σ = 2152058388480. Its totient is φ = 120203145216.

The previous prime is 561272197919. The next prime is 561272197921. The reversal of 561272197920 is 29791272165.

It is an interprime number because it is at equal distance from previous prime (561272197919) and next prime (561272197921).

It is not an unprimeable number, because it can be changed into a prime (561272197921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 851702551 + ... + 851703209.

It is an arithmetic number, because the mean of its divisors is an integer number (2802159360).

Almost surely, 2561272197920 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 561272197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076029194240).

561272197920 is an abundant number, since it is smaller than the sum of its proper divisors (1590786190560).

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

561272197920 is a wasteful number, since it uses less digits than its factorization.

561272197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 561272197920 in words is "five hundred sixty-one billion, two hundred seventy-two million, one hundred ninety-seven thousand, nine hundred twenty".