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51834994929 = 344126172
BaseRepresentation
bin110000010001100110…
…110100000011110001
311221210110200120110000
4300101212310003301
51322124224314204
635451311500213
73513343121124
oct602146640361
9157713616400
1051834994929
111aa8a559993
12a067527669
134b70c93443
14271a3163bb
151535a12039
hexc119b40f1

51834994929 has 45 divisors (see below), whose sum is σ = 79496027281. Its totient is φ = 33659176320.

The previous prime is 51834994919. The next prime is 51834994931. The reversal of 51834994929 is 92949943815.

The square root of 51834994929 is 227673.

It is a perfect power (a square), and thus also a powerful number.

51834994929 is a `hidden beast` number, since 5 + 1 + 83 + 499 + 49 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44257640625 + 7577354304 = 210375^2 + 87048^2 .

It is a de Polignac number, because none of the positive numbers 2k-51834994929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51834994909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 84011029 + ... + 84011645.

Almost surely, 251834994929 is an apocalyptic number.

51834994929 is the 227673-rd square number.

51834994929 is the 113837-th centered octagonal number.

It is an amenable number.

51834994929 is a deficient number, since it is larger than the sum of its proper divisors (27661032352).

51834994929 is an frugal number, since it uses more digits than its factorization.

51834994929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 661 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

It can be divided in two parts, 518349 and 94929, that added together give a triangular number (613278 = T1107).

The spelling of 51834994929 in words is "fifty-one billion, eight hundred thirty-four million, nine hundred ninety-four thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 41 81 123 369 617 1107 1681 1851 3321 5043 5553 15129 16659 25297 45387 49977 75891 136161 227673 380689 683019 1037177 1142067 2049057 3111531 3426201 9334593 10278603 15608249 28003779 30835809 46824747 84011337 140474241 421422723 639938209 1264268169 1919814627 5759443881 17278331643 51834994929