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138103469595 = 325721310394637
BaseRepresentation
bin1000000010011110011…
…0111011011000011011
3111012110200001011010100
42000213212323120123
54230313442011340
6143235512350443
712656222060100
oct2004746733033
9435420034110
10138103469595
1153629898843
12229226a5423
131003b9a4760
1469817c8aa7
1538d449b830
hex20279bb61b

138103469595 has 144 divisors (see below), whose sum is σ = 300235178880. Its totient is φ = 58207984128.

The previous prime is 138103469593. The next prime is 138103469611. The reversal of 138103469595 is 595964301831.

138103469595 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 3 + 46 + 9 + 595 = 666.

138103469595 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 138103469595 - 21 = 138103469593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138103469591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29780617 + ... + 29785253.

It is an arithmetic number, because the mean of its divisors is an integer number (2084966520).

Almost surely, 2138103469595 is an apocalyptic number.

138103469595 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138103469595 is an abundant number, since it is smaller than the sum of its proper divisors (162131709285).

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

138103469595 is a wasteful number, since it uses less digits than its factorization.

138103469595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 138103469595 in words is "one hundred thirty-eight billion, one hundred three million, four hundred sixty-nine thousand, five hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1039 1365 1911 2205 3117 3185 4095 4637 5195 5733 7273 9351 9555 13507 13911 15585 21819 23185 28665 32459 36365 40521 41733 46755 50911 60281 65457 67535 69555 94549 97377 109095 121563 152733 162295 180843 202605 208665 227213 254555 283647 292131 301405 327285 421967 458199 472745 486885 542529 607815 661843 681639 763665 850941 904215 1136065 1265901 1418235 1460655 1985529 2044917 2109835 2290995 2712645 2953769 3309215 3408195 3797703 4254705 4817843 5956587 6329505 8861307 9927645 10224585 14453529 14768845 18988515 24089215 26583921 29782935 33724901 43360587 44306535 62631959 72267645 101174703 132919605 168624505 187895877 216802935 236074307 303524109 313159795 438423713 505873515 563687631 708222921 939479385 1180371535 1315271139 1517620545 2124668763 2192118565 2818438155 3068965991 3541114605 3945813417 6576355695 9206897973 10623343815 15344829955 19729067085 27620693919 46034489865 138103469595