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1249964248324 = 221128925712
BaseRepresentation
bin10010001100000111101…
…011001100110100000100
311102111101011020220112011
4102030013223030310010
5130434411321421244
62354120423504004
7156210164543341
oct22140753146404
94374334226464
101249964248324
1144211a260400
121823025b8004
1390b42b1a79c
14446da1cd7c8
15227ab36c434
hex12307accd04

1249964248324 has 81 divisors (see below), whose sum is σ = 2435958467733. Its totient is φ = 560797828800.

The previous prime is 1249964248307. The next prime is 1249964248331. The reversal of 1249964248324 is 4238424699421.

The square root of 1249964248324 is 1118018.

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., 240019646724 + 1009944601600 = 489918^2 + 1004960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2189078959 + ... + 2189079529.

Almost surely, 21249964248324 is an apocalyptic number.

1249964248324 is the 1118018-th square number.

It is an amenable number.

1249964248324 is a deficient number, since it is larger than the sum of its proper divisors (1185994219409).

1249964248324 is an frugal number, since it uses more digits than its factorization.

1249964248324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 58.

The spelling of 1249964248324 in words is "one trillion, two hundred forty-nine billion, nine hundred sixty-four million, two hundred forty-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 89 121 178 242 356 484 571 979 1142 1958 2284 3916 6281 7921 10769 12562 15842 21538 25124 31684 43076 50819 69091 87131 101638 138182 174262 203276 276364 326041 348524 559009 652082 958441 1118018 1304164 1916882 2236036 3586451 3833764 4522891 6149099 7172902 9045782 12298198 14345804 18091564 24596396 29017649 39450961 49751801 58035298 78901922 99503602 116070596 157803844 199007204 319194139 547269811 638388278 1094539622 1276776556 2189079244 2582570761 3511135529 5165141522 7022271058 10330283044 14044542116 28408278371 56816556742 113633113484 312491062081 624982124162 1249964248324