Search a number
-
+
137653053615 = 34571143102653
BaseRepresentation
bin1000000000110011000…
…0101110100010101111
3111011022021111122120000
42000030300232202233
54223403140203430
6143123102355343
712642112436010
oct2001460564257
9434267448500
10137653053615
1153418618630
122281788bb53
13cc9959061c
14693ba5d007
1538a9b79e60
hex200cc2e8af

137653053615 has 160 divisors (see below), whose sum is σ = 314801220096. Its totient is φ = 55875536640.

The previous prime is 137653053611. The next prime is 137653053617. The reversal of 137653053615 is 516350356731.

137653053615 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 530 + 53 + 61 + 5 = 666.

It is not a de Polignac number, because 137653053615 - 22 = 137653053611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137653053611) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1289629 + ... + 1392281.

Almost surely, 2137653053615 is an apocalyptic number.

137653053615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137653053615 is an abundant number, since it is smaller than the sum of its proper divisors (177148166481).

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

137653053615 is a wasteful number, since it uses less digits than its factorization.

137653053615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102731 (or 102722 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 137653053615 in words is "one hundred thirty-seven billion, six hundred fifty-three million, fifty-three thousand, six hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 43 45 55 63 77 81 99 105 129 135 165 189 215 231 297 301 315 385 387 405 473 495 567 645 693 891 903 945 1155 1161 1419 1485 1505 1935 2079 2365 2709 2835 3311 3465 3483 4257 4455 4515 5805 6237 7095 8127 9933 10395 12771 13545 16555 17415 21285 24381 29799 31185 38313 40635 49665 63855 89397 102653 121905 148995 191565 268191 307959 446985 513265 718571 923877 1129183 1340955 1539795 2155713 2771631 3387549 3592855 4414079 4619385 5645915 6467139 7904281 8314893 10162647 10778565 13242237 13858155 16937745 19401417 22070395 23712843 30487941 30898553 32335695 39521405 39726711 41574465 48554869 50813235 58204251 66211185 71138529 91463823 92695659 97007085 118564215 119180133 145664607 152439705 154492765 198633555 213415587 242774345 278086977 291021255 339884083 355692645 357540399 436993821 457319115 463478295 595900665 640246761 728323035 834260931 1019652249 1067077935 1310981463 1390434885 1699420415 1787701995 2184969105 2502782793 3058956747 3201233805 3932944389 4171304655 5098261245 6554907315 9176870241 12513913965 15294783735 19664721945 27530610723 45884351205 137653053615