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138558116853 = 321337178717911
BaseRepresentation
bin1000000100001010110…
…1010001001111110101
3111020122100112121220200
42001002231101033311
54232231334214403
6143352553151113
713003412363232
oct2010255211765
9436570477820
10138558116853
1153842498a82
1222a2a9bb499
13100b1c3a7c0
1469c5d36789
15390e356ca3
hex2042b513f5

138558116853 has 48 divisors (see below), whose sum is σ = 221496352896. Its totient is φ = 82910977920.

The previous prime is 138558116849. The next prime is 138558116867. The reversal of 138558116853 is 358611855831.

138558116853 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 581 + 1 + 6 + 8 + 53 = 666.

It is not a de Polignac number, because 138558116853 - 22 = 138558116849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138558116853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138558114853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7726968 + ... + 7744878.

It is an arithmetic number, because the mean of its divisors is an integer number (4614507352).

Almost surely, 2138558116853 is an apocalyptic number.

138558116853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138558116853 is a deficient number, since it is larger than the sum of its proper divisors (82938236043).

138558116853 is a wasteful number, since it uses less digits than its factorization.

138558116853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19754 (or 19751 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 138558116853 in words is "one hundred thirty-eight billion, five hundred fifty-eight million, one hundred sixteen thousand, eight hundred fifty-three".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 1787 4329 5361 16083 17911 23231 53733 66119 69693 161199 198357 209079 232843 595071 662707 698529 859547 1988121 2095587 2578641 5964363 7735923 8615191 25845573 32006957 77536719 96020871 288062613 416090441 1184257409 1248271323 3552772227 3744813969 10658316681 15395346317 46186038951 138558116853