Search a number
-
+
742262429376 = 26341311014103
BaseRepresentation
bin10101100110100100100…
…10011101011011000000
32121221220112201020220000
422303102102131123000
544130123140220001
61324553551520000
7104424645356226
oct12632222353300
92557815636800
10742262429376
11266878877386
12bba32229000
1354cc216b7c0
1427cd6160b16
15144944dda86
hexacd249d6c0

742262429376 has 140 divisors (see below), whose sum is σ = 2369552306352. Its totient is φ = 228388419072.

The previous prime is 742262429329. The next prime is 742262429383. The reversal of 742262429376 is 673924262247.

742262429376 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 624 + 2 + 9 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×7422624293762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5439660 + ... + 5574443.

Almost surely, 2742262429376 is an apocalyptic number.

It is an amenable number.

742262429376 is an abundant number, since it is smaller than the sum of its proper divisors (1627289876976).

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

742262429376 is a wasteful number, since it uses less digits than its factorization.

742262429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014140 (or 11014121 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 742262429376 in words is "seven hundred forty-two billion, two hundred sixty-two million, four hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 11014103 22028206 33042309 44056412 66084618 88112824 99126927 132169236 143183339 176225648 198253854 264338472 286366678 297380781 352451296 396507708 429550017 528676944 572733356 594761562 704902592 793015416 859100034 892142343 1057353888 1145466712 1189523124 1288650051 1586030832 1718200068 1784284686 2114707776 2290933424 2379046248 2577300102 3172061664 3436400136 3568569372 3865950153 4581866848 4758092496 5154600204 6344123328 6872800272 7137138744 7731900306 9163733696 9516184992 10309200408 11597850459 13745600544 14274277488 15463800612 19032369984 20618400816 23195700918 27491201088 28548554976 30927601224 41236801632 46391401836 57097109952 61855202448 82473603264 92782803672 123710404896 185565607344 247420809792 371131214688 742262429376