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139604126145561 = 327411273072
BaseRepresentation
bin11111101111100000011110…
…010110010001110000011001
3200022022000122120202002020100
4133233200132112101300121
5121244233222243124221
61212525130012250013
741256031250040000
oct3757403626216031
9608260576662210
10139604126145561
1140533860812100
12137a826b470909
135cb87c6b9000c
142668c39117c37
151121654e84926
hex7ef81e591c19

139604126145561 has 135 divisors (see below), whose sum is σ = 258610263182453. Its totient is φ = 72511699019760.

The previous prime is 139604126145481. The next prime is 139604126145619. The reversal of 139604126145561 is 165541621406931.

The square root of 139604126145561 is 11815419.

It is a perfect power (a square), and thus also a powerful number.

139604126145561 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 0 + 4 + 12 + 61 + 4 + 5 + 561 = 666.

It is not a de Polignac number, because 139604126145561 - 223 = 139604117756953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 139604126145498 and 139604126145507.

It is not an unprimeable number, because it can be changed into a prime (139604126145061) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19105528870 + ... + 19105536176.

Almost surely, 2139604126145561 is an apocalyptic number.

139604126145561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

139604126145561 is the 11815419-th square number.

139604126145561 is the 5907710-th centered octagonal number.

It is an amenable number.

139604126145561 is a deficient number, since it is larger than the sum of its proper divisors (119006137036892).

139604126145561 is an frugal number, since it uses more digits than its factorization.

139604126145561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14670 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 139604126145561 in words is "one hundred thirty-nine trillion, six hundred four billion, one hundred twenty-six million, one hundred forty-five thousand, five hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 343 363 441 539 693 847 1029 1089 1617 2401 2541 3087 3773 4851 5929 7203 7307 7623 11319 17787 21609 21921 26411 33957 41503 51149 53361 65763 79233 80377 124509 153447 237699 241131 290521 358043 373527 460341 562639 723393 871563 884147 1074129 1687917 2506301 2614689 2652441 3222387 3938473 5063751 6189029 7518903 7957323 11815419 17544107 18567087 22556709 27569311 35446257 43323203 52632321 53392249 55701261 82707933 129969609 157896963 160176747 192985177 248123799 303262421 373745743 389908827 480530241 578955531 587314739 909787263 1121237229 1736866593 1761944217 2122836947 2616220201 2729361789 3363711687 4111203173 5285832651 6368510841 6460462129 7848660603 12333609519 18313541407 19105532523 19381386387 23545981809 28778422211 37000828557 45223234903 54940624221 58144159161 86335266633 128194789849 135669704709 164821872663 201448955477 259005799899 316562644321 384584369547 407009114127 604346866431 949687932963 1153753108641 1410142688339 1813040599293 2215938510247 2849063798889 4230428065017 6647815530741 12691284195051 15511569571729 19943446592223 46534708715187 139604126145561