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137781263730 = 235112127729723
BaseRepresentation
bin1000000001010001100…
…1110011110101110010
3111011122012202101202210
42000110121303311302
54224134000414410
6143143522352550
712645230263305
oct2002431636562
9434565671683
10137781263730
1153483a27800
12228527bb756
13ccba0004b6
146950ab4b3c
1538b6053220
hex2014673d72

137781263730 has 96 divisors (see below), whose sum is σ = 363766116672. Its totient is φ = 33374239360.

The previous prime is 137781263717. The next prime is 137781263761. The reversal of 137781263730 is 37362187731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 137781263730.

It is an unprimeable number.

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, 4620649 + ... + 4650371.

It is an arithmetic number, because the mean of its divisors is an integer number (3789230382).

Almost surely, 2137781263730 is an apocalyptic number.

137781263730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137781263730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181883058336).

137781263730 is an abundant number, since it is smaller than the sum of its proper divisors (225984852942).

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

137781263730 is a wasteful number, since it uses less digits than its factorization.

137781263730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31032 (or 31021 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 137781263730 in words is "one hundred thirty-seven billion, seven hundred eighty-one million, two hundred sixty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1277 1815 2554 3630 3831 6385 7662 12770 14047 19155 28094 29723 38310 42141 59446 70235 84282 89169 140470 148615 154517 178338 210705 297230 309034 326953 421410 445845 463551 653906 772585 891690 927102 980859 1545170 1634765 1961718 2317755 3269530 3596483 4635510 4904295 7192966 9808590 10789449 17982415 21578898 35964830 37956271 53947245 75912542 107894490 113868813 189781355 227737626 379562710 417518981 569344065 835037962 1138688130 1252556943 2087594905 2505113886 4175189810 4592708791 6262784715 9185417582 12525569430 13778126373 22963543955 27556252746 45927087910 68890631865 137781263730