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2139739956225 = 325211328632
BaseRepresentation
bin11111001000110010011…
…100001010010000000001
321120120001011020010201100
4133020302130022100001
5240024141412044400
64314552153125013
7310406515351164
oct37106234122001
97516034203640
102139739956225
11755505471213
122a68426b9769
13126a132a81c1
14757c7749adb
153a9d5e84100
hex1f23270a401

2139739956225 has 81 divisors (see below), whose sum is σ = 3871213945417. Its totient is φ = 1129784920320.

The previous prime is 2139739956223. The next prime is 2139739956229. The reversal of 2139739956225 is 5226599379312.

It is a happy number.

The square root of 2139739956225 is 1462785.

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

2139739956225 is a `hidden beast` number, since 2 + 1 + 39 + 7 + 39 + 9 + 562 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1088614696689 + 1051125259536 = 1043367^2 + 1025244^2 .

It is not a de Polignac number, because 2139739956225 - 21 = 2139739956223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2139739956223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2479420144 + ... + 2479421006.

Almost surely, 22139739956225 is an apocalyptic number.

2139739956225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2139739956225 is the 1462785-th square number.

2139739956225 is the 731393-rd centered octagonal number.

It is an amenable number.

2139739956225 is a deficient number, since it is larger than the sum of its proper divisors (1731473989192).

2139739956225 is an frugal number, since it uses more digits than its factorization.

2139739956225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 984 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 2139739956225 in words is "two trillion, one hundred thirty-nine billion, seven hundred thirty-nine million, nine hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 339 565 863 1017 1695 2589 2825 4315 5085 7767 8475 12769 12945 21575 25425 38307 38835 63845 64725 97519 114921 191535 194175 292557 319225 487595 574605 744769 877671 957675 1462785 2234307 2437975 2873025 3723845 4388355 6702921 7313925 11019647 11171535 18619225 21941775 33058941 33514605 55098235 55857675 84158897 99176823 165294705 167573025 252476691 275491175 420794485 495884115 757430073 826473525 1262383455 2103972425 2479420575 3787150365 6311917275 9509955361 18935751825 28529866083 47549776805 85589598249 142649330415 237748884025 427947991245 713246652075 2139739956225