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2742932347920 = 24355141097343
BaseRepresentation
bin100111111010100011100…
…000100001110000010000
3100201012222200010111100000
4213322203200201300100
5324420011140113140
65500030303330000
7402112264160502
oct47724340416020
910635880114300
102742932347920
119682a8890956
123837225b0900
1316b87143c17b
1496a89997d72
154b53b1eaa30
hex27ea3821c10

2742932347920 has 120 divisors (see below), whose sum is σ = 9552854578176. Its totient is φ = 731448620928.

The previous prime is 2742932347873. The next prime is 2742932347949. The reversal of 2742932347920 is 297432392472.

It is a happy number.

2742932347920 is a `hidden beast` number, since 2 + 7 + 4 + 293 + 2 + 347 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70529232 + ... + 70568111.

Almost surely, 22742932347920 is an apocalyptic number.

2742932347920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742932347920 is an abundant number, since it is smaller than the sum of its proper divisors (6809922230256).

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

2742932347920 is a wasteful number, since it uses less digits than its factorization.

2742932347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141097371 (or 141097353 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 2742932347920 in words is "two trillion, seven hundred forty-two billion, nine hundred thirty-two million, three hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 141097343 282194686 423292029 564389372 705486715 846584058 1128778744 1269876087 1410973430 1693168116 2116460145 2257557488 2539752174 2821946860 3386336232 3809628261 4232920290 5079504348 5643893720 6349380435 6772672464 7619256522 8465840580 10159008696 11287787440 11428884783 12698760870 15238513044 16931681160 19048141305 20318017392 22857769566 25397521740 30477026088 33863362320 34286654349 38096282610 45715539132 50795043480 57144423915 60954052176 68573308698 76192565220 91431078264 101590086960 114288847830 137146617396 152385130440 171433271745 182862156528 228577695660 274293234792 304770260880 342866543490 457155391320 548586469584 685733086980 914310782640 1371466173960 2742932347920