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616082138281 = 19210923792
BaseRepresentation
bin10001111011100010101…
…10110110010010101001
32011220012211020022211101
420331301112312102221
540043214011411111
61151005122201401
762340042525361
oct10756126662251
92156184208741
10616082138281
11218308340075
129b4987b3261
134613374216c
1421b660b79a1
151105bb8abc1
hex8f715b64a9

616082138281 has 27 divisors (see below), whose sum is σ = 657970163991. Its totient is φ = 576776250288.

The previous prime is 616082138279. The next prime is 616082138323. The reversal of 616082138281 is 182831280616.

The square root of 616082138281 is 784909.

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

It can be written as a sum of positive squares in only one way, i.e., 429406294681 + 186675843600 = 655291^2 + 432060^2 .

It is not a de Polignac number, because 616082138281 - 21 = 616082138279 is a prime.

It is a super-2 number, since 2×6160821382812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (616082108281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1625546350 + ... + 1625546728.

It is an arithmetic number, because the mean of its divisors is an integer number (24369265333).

Almost surely, 2616082138281 is an apocalyptic number.

616082138281 is the 784909-th square number.

616082138281 is the 392455-th centered octagonal number.

It is an amenable number.

616082138281 is a deficient number, since it is larger than the sum of its proper divisors (41888025710).

616082138281 is an frugal number, since it uses more digits than its factorization.

616082138281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 616082138281 in words is "six hundred sixteen billion, eighty-two million, one hundred thirty-eight thousand, two hundred eighty-one".

Divisors: 1 19 109 361 379 2071 7201 11881 39349 41311 136819 143641 225739 784909 2729179 4289041 4502899 14913271 15656869 51854401 85555081 297480511 1625546539 1706598721 5652129709 32425375699 616082138281