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53939433493935 = 32511199354675641
BaseRepresentation
bin11000100001110110000001…
…10001011101010110101111
321001222120002212021200002200
430100323000301131112233
524032220424433301220
6310415233400552543
714234665305550323
oct1420730061352657
9231876085250080
1053939433493935
1116206649011270
1260719a7182753
13241360b5c2032
14d4697ab49983
1563814d7b3890
hex310ec0c5d5af

53939433493935 has 48 divisors (see below), whose sum is σ = 102045743418528. Its totient is φ = 26139329971200.

The previous prime is 53939433493921. The next prime is 53939433493937.

53939433493935 is a `hidden beast` number, since 5 + 3 + 9 + 3 + 9 + 43 + 3 + 493 + 93 + 5 = 666.

53939433493935 is nontrivially palindromic in base 10.

53939433493935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53939433493935 - 24 = 53939433493919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53939433493937) 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 47 ways as a sum of consecutive naturals, for example, 26351286 + ... + 28324355.

It is an arithmetic number, because the mean of its divisors is an integer number (2125952987886).

Almost surely, 253939433493935 is an apocalyptic number.

53939433493935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53939433493935 is a deficient number, since it is larger than the sum of its proper divisors (48106309924593).

53939433493935 is a wasteful number, since it uses less digits than its factorization.

53939433493935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54677656 (or 54677653 counting only the distinct ones).

The product of its digits is 1913187600, while the sum is 72.

The spelling of 53939433493935 in words is "fifty-three trillion, nine hundred thirty-nine billion, four hundred thirty-three million, four hundred ninety-three thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 1993 5979 9965 17937 21923 29895 65769 89685 109615 197307 328845 986535 54675641 164026923 273378205 492080769 601432051 820134615 1804296153 2460403845 3007160255 5412888459 9021480765 27064442295 108968552513 326905657539 544842762565 980716972617 1198654077643 1634528287695 3595962232929 4903584863085 5993270388215 10787886698787 17979811164645 53939433493935