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1274260991104 = 27292237192141
BaseRepresentation
bin10010100010101111110…
…111111010110010000000
311111211002102212022210101
4102202233313322302000
5131334141303203404
62413215403212144
7161030242466203
oct22425767726200
94454072768711
101274260991104
11451458122912
12186b63517054
139321574416a
1445962dd193a
152322e4272a4
hex128afdfac80

1274260991104 has 128 divisors (see below), whose sum is σ = 2642782464000. Its totient is φ = 611264532480.

The previous prime is 1274260991053. The next prime is 1274260991123. The reversal of 1274260991104 is 4011990624721.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595169874 + ... + 595172014.

It is an arithmetic number, because the mean of its divisors is an integer number (20646738000).

Almost surely, 21274260991104 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 1274260991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321391232000).

1274260991104 is an abundant number, since it is smaller than the sum of its proper divisors (1368521472896).

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

1274260991104 is a wasteful number, since it uses less digits than its factorization.

1274260991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 1274260991104 in words is "one trillion, two hundred seventy-four billion, two hundred sixty million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 223 232 446 464 719 892 928 1438 1784 1856 2141 2876 3568 3712 4282 5752 6467 7136 8564 11504 12934 14272 17128 20851 23008 25868 28544 34256 41702 46016 51736 62089 68512 83404 92032 103472 124178 137024 160337 166808 206944 248356 274048 320674 333616 413888 477443 496712 641348 667232 827776 954886 993424 1282696 1334464 1539379 1909772 1986848 2565392 2668928 3078758 3819544 3973696 4649773 5130784 6157516 7639088 7947392 9299546 10261568 12315032 13845847 15278176 18599092 20523136 24630064 27691694 30556352 37198184 44641991 49260128 55383388 61112704 74396368 89283982 98520256 110766776 148792736 178567964 197040512 221533552 297585472 343281517 357135928 443067104 595170944 686563034 714271856 886134208 1373126068 1428543712 1772268416 2746252136 2857087424 5492504272 5714174848 9955163993 10985008544 19910327986 21970017088 39820655972 43940034176 79641311944 159282623888 318565247776 637130495552 1274260991104