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34680045049524 = 223271737218790503
BaseRepresentation
bin1111110001010100100111…
…10001000001011010110100
311112210101020222010100020100
413320222103301001122310
514021144213013041044
6201431443122434100
710206356563060560
oct770522361013264
9145711228110210
1034680045049524
11100607a7361706
123a81284b02930
131647411440cc4
1487c7476b46a0
1540219301d869
hex1f8a93c416b4

34680045049524 has 144 divisors (see below), whose sum is σ = 108947169047808. Its totient is φ = 9073679698944.

The previous prime is 34680045049519. The next prime is 34680045049543. The reversal of 34680045049524 is 42594054008643.

34680045049524 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 0 + 4 + 50 + 495 + 24 = 666.

It is a super-2 number, since 2×346800450495242 (a number of 28 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, 109236744 + ... + 109553759.

It is an arithmetic number, because the mean of its divisors is an integer number (756577562832).

Almost surely, 234680045049524 is an apocalyptic number.

34680045049524 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34680045049524 is an abundant number, since it is smaller than the sum of its proper divisors (74267123998284).

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

34680045049524 is a wasteful number, since it uses less digits than its factorization.

34680045049524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218790574 (or 218790569 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 34680045049524 in words is "thirty-four trillion, six hundred eighty billion, forty-five million, forty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 37 42 51 63 68 74 84 102 111 119 126 148 153 204 222 238 252 259 306 333 357 444 476 518 612 629 666 714 777 1036 1071 1258 1332 1428 1554 1887 2142 2331 2516 3108 3774 4284 4403 4662 5661 7548 8806 9324 11322 13209 17612 22644 26418 39627 52836 79254 158508 218790503 437581006 656371509 875162012 1312743018 1531533521 1969114527 2625486036 3063067042 3719438551 3938229054 4594600563 6126134084 7438877102 7876458108 8095248611 9189201126 11158315653 13783801689 14877754204 16190497222 18378402252 22316631306 24285745833 26036069857 27567603378 32380994444 33474946959 44633262612 48571491666 52072139714 55135206756 56666740277 66949893918 72857237499 78108209571 97142983332 104144279428 113333480554 133899787836 137619226387 145714474998 156216419142 170000220831 226666961108 234324628713 275238452774 291428949996 312432838284 340000441662 412857679161 468649257426 510000662493 550476905548 680000883324 825715358322 937298514852 963334584709 1020001324986 1238573037483 1651430716644 1926669169418 2040002649972 2477146074966 2890003754127 3853338338836 4954292149932 5780007508254 8670011262381 11560015016508 17340022524762 34680045049524