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76106535225 = 3527592457031
BaseRepresentation
bin100011011100001001…
…1011001000100111001
321021102222212120101220
41012320103121010321
52221331233111400
654543551102253
75332663606230
oct1067023310471
9237388776356
1076106535225
112a3051783a6
12128bbb11989
13723b6046c6
14397da37b17
151ea678e7a0
hex11b84d9139

76106535225 has 48 divisors (see below), whose sum is σ = 146242544640. Its totient is φ = 34201857600.

The previous prime is 76106535199. The next prime is 76106535227. The reversal of 76106535225 is 52253560167.

It is not a de Polignac number, because 76106535225 - 236 = 7387058489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76106535227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197541 + ... + 1259490.

It is an arithmetic number, because the mean of its divisors is an integer number (3046719680).

Almost surely, 276106535225 is an apocalyptic number.

76106535225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76106535225 is a deficient number, since it is larger than the sum of its proper divisors (70136009415).

76106535225 is a wasteful number, since it uses less digits than its factorization.

76106535225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457110 (or 2457105 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 76106535225 in words is "seventy-six billion, one hundred six million, five hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 59 75 105 175 177 295 413 525 885 1239 1475 2065 4425 6195 10325 30975 2457031 7371093 12285155 17199217 36855465 51597651 61425775 85996085 144964829 184277325 257988255 429980425 434894487 724824145 1014753803 1289941275 2174472435 3044261409 3624120725 5073769015 10872362175 15221307045 25368845075 76106535225