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7825920141 = 313414894259
BaseRepresentation
bin1110100100111011…
…00001000010001101
3202012101211221020010
413102131201002031
5112011413421031
63332320343433
7364635136464
oct72235410215
922171757203
107825920141
1133565896a6
121624a74b79
13979462aa0
145435119db
1530c0b1246
hex1d276108d

7825920141 has 16 divisors (see below), whose sum is σ = 11511299520. Its totient is φ = 4698487680.

The previous prime is 7825920139. The next prime is 7825920173. The reversal of 7825920141 is 1410295287.

7825920141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7825920141 - 21 = 7825920139 is a prime.

It is a super-2 number, since 2×78259201412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 7825920141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825920191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2445531 + ... + 2448728.

It is an arithmetic number, because the mean of its divisors is an integer number (719456220).

Almost surely, 27825920141 is an apocalyptic number.

It is an amenable number.

7825920141 is a deficient number, since it is larger than the sum of its proper divisors (3685379379).

7825920141 is a wasteful number, since it uses less digits than its factorization.

7825920141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894316.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 7825920141 is about 88464.2308563184. The cubic root of 7825920141 is about 1985.3868328025.

The spelling of 7825920141 in words is "seven billion, eight hundred twenty-five million, nine hundred twenty thousand, one hundred forty-one".

Divisors: 1 3 13 39 41 123 533 1599 4894259 14682777 63625367 190876101 200664619 601993857 2608640047 7825920141