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54339972205302 = 2327261609945811
BaseRepresentation
bin11000101101100000000101…
…01111011000101011110110
321010101211222002112102011100
430112300002233120223312
524110301230341032202
6311323234423350530
714305635111455400
oct1426600257305366
9233354862472140
1054339972205302
11163504a8740473
12611754a8b2446
13244231171a5a4
14d5c0d669db70
1564379262041c
hex316c02bd8af6

54339972205302 has 36 divisors (see below), whose sum is σ = 136958909540076. Its totient is φ = 15525706344120.

The previous prime is 54339972205229. The next prime is 54339972205303. The reversal of 54339972205302 is 20350227993345.

54339972205302 is a `hidden beast` number, since 5 + 4 + 3 + 39 + 9 + 72 + 2 + 0 + 530 + 2 = 666.

54339972205302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×543399722053022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54339972205303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 30804972024 + ... + 30804973787.

It is an arithmetic number, because the mean of its divisors is an integer number (3804414153891).

Almost surely, 254339972205302 is an apocalyptic number.

54339972205302 is an abundant number, since it is smaller than the sum of its proper divisors (82618937334774).

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

54339972205302 is a wasteful number, since it uses less digits than its factorization.

54339972205302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61609945833 (or 61609945823 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 54339972205302 in words is "fifty-four trillion, three hundred thirty-nine billion, nine hundred seventy-two million, two hundred five thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 61609945811 123219891622 184829837433 369659674866 431269620677 554489512299 862539241354 1108979024598 1293808862031 2587617724062 3018887344739 3881426586093 6037774689478 7762853172186 9056662034217 18113324068434 27169986102651 54339972205302