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12769244376 = 2337231734253
BaseRepresentation
bin10111110010001101…
…10011010011011000
31012221220120211020220
423321012303103120
5202122411310001
65511025120040
7631301533500
oct137106632330
935856524226
1012769244376
1154629a6329
122584489020
131286639805
14891c5ca00
154eb06ec36
hex2f91b34d8

12769244376 has 96 divisors (see below), whose sum is σ = 37253280240. Its totient is φ = 3636740352.

The previous prime is 12769244339. The next prime is 12769244401. The reversal of 12769244376 is 67344296721.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355666 + ... + 389918.

Almost surely, 212769244376 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 12769244376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626640120).

12769244376 is an abundant number, since it is smaller than the sum of its proper divisors (24484035864).

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

12769244376 is a wasteful number, since it uses less digits than its factorization.

12769244376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34593 (or 34582 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 51.

The spelling of 12769244376 in words is "twelve billion, seven hundred sixty-nine million, two hundred forty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 317 392 588 634 951 1176 1268 1902 2219 2536 3804 4438 6657 7608 8876 13314 15533 17752 26628 31066 34253 46599 53256 62132 68506 93198 102759 124264 137012 186396 205518 239771 274024 372792 411036 479542 719313 822072 959084 1438626 1678397 1918168 2877252 3356794 5035191 5754504 6713588 10070382 10858201 13427176 20140764 21716402 32574603 40281528 43432804 65149206 76007407 86865608 130298412 152014814 228022221 260596824 304029628 456044442 532051849 608059256 912088884 1064103698 1596155547 1824177768 2128207396 3192311094 4256414792 6384622188 12769244376