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7827830075325 = 3521311371049059
BaseRepresentation
bin111000111101000111100…
…0001111110111110111101
31000201022222221022000200110
41301322033001332332331
52011222343444402300
624352015553020233
71435353632543121
oct161721701767675
930638887260613
107827830075325
112548845008597
12a65104554679
1344a213238aa0
141d0c24757581
15d8946d8e550
hex71e8f07efbd

7827830075325 has 48 divisors (see below), whose sum is σ = 14060893170240. Its totient is φ = 3819597358080.

The previous prime is 7827830075323. The next prime is 7827830075327. The reversal of 7827830075325 is 5235700387287.

It is an interprime number because it is at equal distance from previous prime (7827830075323) and next prime (7827830075327).

It is not a de Polignac number, because 7827830075325 - 21 = 7827830075323 is a prime.

It is a super-2 number, since 2×78278300753252 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7827830075323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35414355 + ... + 35634704.

It is an arithmetic number, because the mean of its divisors is an integer number (292935274380).

Almost surely, 27827830075325 is an apocalyptic number.

7827830075325 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7827830075325 is a deficient number, since it is larger than the sum of its proper divisors (6233063094915).

7827830075325 is a wasteful number, since it uses less digits than its factorization.

7827830075325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71049198 (or 71049193 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 57.

The spelling of 7827830075325 in words is "seven trillion, eight hundred twenty-seven billion, eight hundred thirty million, seventy-five thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 113 195 325 339 565 975 1469 1695 2825 4407 7345 8475 22035 36725 110175 71049059 213147177 355245295 923637767 1065735885 1776226475 2770913301 4618188835 5328679425 8028543667 13854566505 23090944175 24085631001 40142718335 69272832525 104371067671 120428155005 200713591675 313113203013 521855338355 602140775025 1565566015065 2609276691775 7827830075325