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2741316405632 = 27723114099101
BaseRepresentation
bin100111111001000011001…
…100001100100110000000
3100201001211001110010020122
4213321003030030212000
5324403203444440012
65455202100155412
7402024242661500
oct47710314144600
910631731403218
102741316405632
11967649710562
12383351398b68
1316b674713bbc
1496975113a00
154b4943ece72
hex27e4330c980

2741316405632 has 96 divisors (see below), whose sum is σ = 6557774322240. Its totient is φ = 1136951424000.

The previous prime is 2741316405629. The next prime is 2741316405661. The reversal of 2741316405632 is 2365046131472.

It is a super-2 number, since 2×27413164056322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6855119 + ... + 7243982.

It is an arithmetic number, because the mean of its divisors is an integer number (68310149190).

Almost surely, 22741316405632 is an apocalyptic number.

It is an amenable number.

2741316405632 is an abundant number, since it is smaller than the sum of its proper divisors (3816457916608).

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

2741316405632 is a wasteful number, since it uses less digits than its factorization.

2741316405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14099160 (or 14099141 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 2741316405632 in words is "two trillion, seven hundred forty-one billion, three hundred sixteen million, four hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 784 868 896 992 1519 1568 1736 1984 3038 3136 3472 3968 6076 6272 6944 12152 13888 24304 27776 48608 97216 194432 14099101 28198202 56396404 98693707 112792808 197387414 225585616 394774828 437072131 451171232 690855949 789549656 874144262 902342464 1381711898 1579099312 1748288524 1804684928 2763423796 3059504917 3158198624 3496577048 5526847592 6119009834 6316397248 6993154096 11053695184 12238019668 12632794496 13986308192 21416534419 22107390368 24476039336 27972616384 42833068838 44214780736 48952078672 55945232768 85666137676 88429561472 97904157344 171332275352 195808314688 342664550704 391616629376 685329101408 1370658202816 2741316405632