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138277381359 = 313311635411297
BaseRepresentation
bin1000000011000111111…
…0010110010011101111
3111012220210021210012210
42000301332112103233
54231143002200414
6143305044101503
712663433230345
oct2006176262357
9435823253183
10138277381359
1153708a82277
1222970994893
1310068a26420
14699a939995
1538e48a0e59
hex2031f964ef

138277381359 has 64 divisors (see below), whose sum is σ = 206754910208. Its totient is φ = 81629337600.

The previous prime is 138277381273. The next prime is 138277381369. The reversal of 138277381359 is 953183772831.

It is a happy number.

It is not a de Polignac number, because 138277381359 - 213 = 138277373167 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138277381299 and 138277381308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138277381369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106612599 + ... + 106613895.

It is an arithmetic number, because the mean of its divisors is an integer number (3230545472).

Almost surely, 2138277381359 is an apocalyptic number.

138277381359 is a deficient number, since it is larger than the sum of its proper divisors (68477528849).

138277381359 is a wasteful number, since it uses less digits than its factorization.

138277381359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048.

The product of its digits is 7620480, while the sum is 57.

The spelling of 138277381359 in words is "one hundred thirty-eight billion, two hundred seventy-seven million, three hundred eighty-one thousand, three hundred fifty-nine".

Divisors: 1 3 13 31 39 93 163 403 489 541 1209 1297 1623 2119 3891 5053 6357 7033 15159 16771 16861 21099 40207 50313 50583 65689 88183 120621 197067 211411 218023 264549 522691 634233 654069 701677 1146379 1568073 2105031 2733673 2748343 3439137 6553741 8201019 8245029 9121801 19661223 21751987 27365403 35537749 65255961 85198633 106613247 114373351 255595899 282775831 343120053 848327493 1486853563 3545573881 4460560689 10636721643 46092460453 138277381359