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34054579078784 = 271122198771893
BaseRepresentation
bin1111011111000111100110…
…00101101100011010000000
311110120120211011112221020122
413233203303011230122000
513430422234221010114
6200232242504155412
710113235134044105
oct757436305543200
9143516734487218
1034054579078784
11a93a5140a8400
1239a0009768b68
13160044387b174
1485a37122caac
153e0c87637e8e
hex1ef8f316c680

34054579078784 has 48 divisors (see below), whose sum is σ = 74571348785010. Its totient is φ = 15479354119680.

The previous prime is 34054579078777. The next prime is 34054579078811. The reversal of 34054579078784 is 48787097545043.

It can be written as a sum of positive squares in only one way, i.e., 20479245160000 + 13575333918784 = 4525400^2 + 3684472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1099370459 + ... + 1099401434.

Almost surely, 234054579078784 is an apocalyptic number.

It is an amenable number.

34054579078784 is an abundant number, since it is smaller than the sum of its proper divisors (40516769706226).

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

34054579078784 is a wasteful number, since it uses less digits than its factorization.

34054579078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198771929 (or 2198771906 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 71.

The spelling of 34054579078784 in words is "thirty-four trillion, fifty-four billion, five hundred seventy-nine million, seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 2198771893 4397543786 8795087572 17590175144 24186490823 35180350288 48372981646 70360700576 96745963292 140721401152 193491926584 266051399053 281442802304 386983853168 532102798106 773967706336 1064205596212 1547935412672 2128411192424 3095870825344 4256822384848 8513644769696 17027289539392 34054579078784