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1813446049212 = 22327311371694423
BaseRepresentation
bin11010011000111001110…
…011101011110110111100
320102100211011200020102100
4122120321303223312330
5214202414142033322
63505030254225100
7245005612041510
oct32307163536674
96370734606370
101813446049212
1163a095022456
1225355b4b5190
13102012b5c545
1463ab2488140
153228a217dac
hex1a639cebdbc

1813446049212 has 144 divisors (see below), whose sum is σ = 5447315607552. Its totient is φ = 497753406720.

The previous prime is 1813446049193. The next prime is 1813446049241. The reversal of 1813446049212 is 2129406443181.

1813446049212 is a `hidden beast` number, since 1 + 8 + 1 + 34 + 4 + 604 + 9 + 2 + 1 + 2 = 666.

It is a super-2 number, since 2×18134460492122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223033 + ... + 1917455.

It is an arithmetic number, because the mean of its divisors is an integer number (37828580608).

Almost surely, 21813446049212 is an apocalyptic number.

1813446049212 is a gapful number since it is divisible by the number (12) 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 1813446049212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723657803776).

1813446049212 is an abundant number, since it is smaller than the sum of its proper divisors (3633869558340).

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

1813446049212 is a wasteful number, since it uses less digits than its factorization.

1813446049212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694608 (or 1694603 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1813446049212 in words is "one trillion, eight hundred thirteen billion, four hundred forty-six million, forty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 137 186 217 252 274 279 372 411 434 548 558 651 822 868 959 1116 1233 1302 1644 1918 1953 2466 2604 2877 3836 3906 4247 4932 5754 7812 8494 8631 11508 12741 16988 17262 25482 29729 34524 38223 50964 59458 76446 89187 118916 152892 178374 267561 356748 535122 1070244 1694423 3388846 5083269 6777692 10166538 11860961 15249807 20333076 23721922 30499614 35582883 47443844 52527113 60999228 71165766 105054226 106748649 142331532 157581339 210108452 213497298 232135951 315162678 367689791 426994596 464271902 472744017 630325356 696407853 735379582 928543804 945488034 1103069373 1392815706 1470759164 1624951657 1890976068 2089223559 2206138746 2785631412 3249903314 3309208119 4178447118 4412277492 4874854971 6499806628 6618416238 7196214481 8356894236 9749709942 13236832476 14392428962 14624564913 19499419884 21588643443 28784857924 29249129826 43177286886 50373501367 58498259652 64765930329 86354573772 100747002734 129531860658 151120504101 201494005468 259063721316 302241008202 453361512303 604482016404 906723024606 1813446049212