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12774836480 = 28577319531
BaseRepresentation
bin10111110010111000…
…01000100100000000
31012222022002221011212
423321130020210000
5202130324231410
65511345025252
7631400214140
oct137134104400
935868087155
1012774836480
1154660757aa
122586325228
131287846c53
148928b6920
154eb7c6b05
hex2f9708900

12774836480 has 144 divisors (see below), whose sum is σ = 35451986304. Its totient is φ = 4319723520.

The previous prime is 12774836423. The next prime is 12774836497. The reversal of 12774836480 is 8463847721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644315 + ... + 663845.

Almost surely, 212774836480 is an apocalyptic number.

12774836480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12774836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725993152).

12774836480 is an abundant number, since it is smaller than the sum of its proper divisors (22677149824).

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

12774836480 is an equidigital number, since it uses as much as digits as its factorization.

12774836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19632 (or 19618 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 12774836480 in words is "twelve billion, seven hundred seventy-four million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 224 256 280 292 320 365 448 511 560 584 640 730 896 1022 1120 1168 1280 1460 1792 2044 2240 2336 2555 2920 4088 4480 4672 5110 5840 8176 8960 9344 10220 11680 16352 18688 19531 20440 23360 32704 39062 40880 46720 65408 78124 81760 93440 97655 130816 136717 156248 163520 195310 273434 312496 327040 390620 546868 624992 654080 683585 781240 1093736 1249984 1367170 1425763 1562480 2187472 2499968 2734340 2851526 3124960 4374944 4999936 5468680 5703052 6249920 7128815 8749888 9980341 10937360 11406104 12499840 14257630 17499776 19960682 21874720 22812208 24999680 28515260 34999552 39921364 43749440 45624416 49901705 57030520 79842728 87498880 91248832 99803410 114061040 159685456 174997760 182497664 199606820 228122080 319370912 364995328 399213640 456244160 638741824 798427280 912488320 1277483648 1596854560 1824976640 2554967296 3193709120 6387418240 12774836480