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2425613123844 = 2232172152692
BaseRepresentation
bin100011010011000001110…
…011110000000100000100
322120212221011000201120100
4203103001303300010010
5304220123424430334
65054151123204100
7340146645236361
oct43230163600404
98525834021510
102425613123844
11855773411229
12332124b16630
1314797144b1a1
14855865db468
1543168309c99
hex234c1cf0104

2425613123844 has 81 divisors (see below), whose sum is σ = 6513724737247. Its totient is φ = 760926828288.

The previous prime is 2425613123821. The next prime is 2425613123849. The reversal of 2425613123844 is 4483213165242.

The square root of 2425613123844 is 1557438.

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

2425613123844 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 613 + 1 + 23 + 8 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 145778876100 + 2279834247744 = 381810^2 + 1509912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2425613123844.

It is not an unprimeable number, because it can be changed into a prime (2425613123849) 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, 158851042 + ... + 158866310.

Almost surely, 22425613123844 is an apocalyptic number.

2425613123844 is the 1557438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425613123844

2425613123844 is an abundant number, since it is smaller than the sum of its proper divisors (4088111613403).

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

2425613123844 is an equidigital number, since it uses as much as digits as its factorization.

2425613123844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30582 (or 15291 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 2425613123844 in words is "two trillion, four hundred twenty-five billion, six hundred thirteen million, one hundred twenty-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10404 15269 30538 45807 61076 91614 137421 183228 259573 274842 519146 549684 778719 1038292 1557438 2336157 3114876 4412741 4672314 8825482 9344628 13238223 17650964 26476446 39714669 52952892 79429338 158858676 233142361 466284722 699427083 932569444 1398854166 2098281249 2797708332 3963420137 4196562498 7926840274 8393124996 11890260411 15853680548 23780520822 35670781233 47561041644 67378142329 71341562466 134756284658 142683124932 202134426987 269512569316 404268853974 606403280961 808537707948 1212806561922 2425613123844