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2981194338816 = 29323717485421
BaseRepresentation
bin101011011000011101000…
…001111001001000000000
3101112222222120002201001100
4223120131001321020000
5342320441222320231
610201313004534400
7425245526526411
oct53303501711000
911488876081040
102981194338816
11a4a354537131
12401937b51400
13188182716a35
14a440d4a9808
15528337961e6
hex2b61d079200

2981194338816 has 120 divisors (see below), whose sum is σ = 8836467832764. Its totient is φ = 966873784320.

The previous prime is 2981194338791. The next prime is 2981194338851. The reversal of 2981194338816 is 6188334911892.

2981194338816 is a `hidden beast` number, since 2 + 9 + 8 + 119 + 433 + 8 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2964953385216 + 16240953600 = 1721904^2 + 127440^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8572215 + ... + 8913206.

Almost surely, 22981194338816 is an apocalyptic number.

It is an amenable number.

2981194338816 is an abundant number, since it is smaller than the sum of its proper divisors (5855273493948).

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

2981194338816 is a wasteful number, since it uses less digits than its factorization.

2981194338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17485482 (or 17485463 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 2981194338816 in words is "two trillion, nine hundred eighty-one billion, one hundred ninety-four million, three hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 42624 56832 85248 170496 17485421 34970842 52456263 69941684 104912526 139883368 157368789 209825052 279766736 314737578 419650104 559533472 629475156 646960577 839300208 1119066944 1258950312 1293921154 1678600416 1940881731 2238133888 2517900624 2587842308 3357200832 3881763462 4476267776 5035801248 5175684616 5822645193 6714401664 7763526924 8952535552 10071602496 10351369232 11645290386 13428803328 15527053848 20143204992 20702738464 23290580772 26857606656 31054107696 40286409984 41405476928 46581161544 62108215392 80572819968 82810953856 93162323088 124216430784 165621907712 186324646176 248432861568 331243815424 372649292352 496865723136 745298584704 993731446272 1490597169408 2981194338816