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616839022881 = 3238926732
BaseRepresentation
bin10001111100111100111…
…10001000100100100001
32011222011120110001022100
420332132132020210201
540101241242213011
61151212201001013
762364563120124
oct10763636104441
92158146401270
10616839022881
11218666602734
129b66a183169
13462244aa483
1421bd881c3bb
15110a3347d56
hex8f9e788921

616839022881 has 27 divisors (see below), whose sum is σ = 894615341529. Its totient is φ = 409559415552.

The previous prime is 616839022853. The next prime is 616839022901. The reversal of 616839022881 is 188220938616.

The square root of 616839022881 is 785391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 118849115025 + 497989907856 = 344745^2 + 705684^2 .

It is not a de Polignac number, because 616839022881 - 27 = 616839022753 is a prime.

It is a super-2 number, since 2×6168390228812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (616839022841) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 916550961 + ... + 916551633.

Almost surely, 2616839022881 is an apocalyptic number.

616839022881 is the 785391-st square number.

616839022881 is the 392696-th centered octagonal number.

It is an amenable number.

616839022881 is a deficient number, since it is larger than the sum of its proper divisors (277776318648).

616839022881 is an frugal number, since it uses more digits than its factorization.

616839022881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 616839022881 in words is "six hundred sixteen billion, eight hundred thirty-nine million, twenty-two thousand, eight hundred eighty-one".

Divisors: 1 3 9 389 673 1167 2019 3501 6057 151321 261797 452929 453963 785391 1358787 1361889 2356173 4076361 101839033 176189381 305517099 528568143 916551297 1585704429 68537669209 205613007627 616839022881