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39290011009293 = 31110119166193371
BaseRepresentation
bin10001110111011111010110…
…01001100100000100001101
312011010002101102101022100210
420323233223021210010031
520122211420304244133
6215321325404113033
711163416046150222
oct1073575311440415
9164102342338323
1039290011009293
1111578888a20960
1244a6801235779
1318c00557c6445
1499b90a6b9949
15482053c2d763
hex23bbeb26410d

39290011009293 has 64 divisors (see below), whose sum is σ = 58105506152448. Its totient is φ = 23417196000000.

The previous prime is 39290011009289. The next prime is 39290011009363.

39290011009293 is nontrivially palindromic in base 10.

39290011009293 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 39290011009293 - 22 = 39290011009289 is a prime.

It is a super-2 number, since 2×392900110092932 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39290011009253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420747898 + ... + 420841268.

It is an arithmetic number, because the mean of its divisors is an integer number (907898533632).

Almost surely, 239290011009293 is an apocalyptic number.

39290011009293 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39290011009293 is a deficient number, since it is larger than the sum of its proper divisors (18815495143155).

39290011009293 is a wasteful number, since it uses less digits than its factorization.

39290011009293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94338.

The product of its (nonzero) digits is 236196, while the sum is 48.

The spelling of 39290011009293 in words is "thirty-nine trillion, two hundred ninety billion, eleven million, nine thousand, two hundred ninety-three".

Divisors: 1 3 11 33 101 191 303 573 661 1111 1983 2101 3333 6303 7271 19291 21813 57873 66761 93371 126251 200283 212201 280113 378753 636603 734371 1027081 1388761 2203113 3081243 4166283 9430471 12751351 17833861 28291413 38254053 53501583 61718231 103735181 140264861 185154693 196172471 311205543 420794583 588517413 678900541 1801219961 2036701623 5403659883 6233541331 11788182121 18700623993 19813419571 35364546363 59440258713 68568954641 129670003331 205706863923 389010009993 1190606394221 3571819182663 13096670336431 39290011009293