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88342116005151 = 346726960513977
BaseRepresentation
bin10100000101100011000000…
…011100010111010100011111
3102120210102102221212012010000
4110011203000130113110133
543034344123144131101
6511515450253545343
724415335663160251
oct2405430034272437
9376712387765100
1088342116005151
112616a7544576a8
129aa9363aa5253
133a3a819b3a388
1417b5ad1997cd1
15a32eab6be486
hex5058c071751f

88342116005151 has 40 divisors (see below), whose sum is σ = 134435432965680. Its totient is φ = 57800045204352.

The previous prime is 88342116005147. The next prime is 88342116005161. The reversal of 88342116005151 is 15150061124388.

88342116005151 is a `hidden beast` number, since 8 + 8 + 3 + 4 + 21 + 1 + 600 + 5 + 15 + 1 = 666.

It is not a de Polignac number, because 88342116005151 - 22 = 88342116005147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88342116005097 and 88342116005106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88342116005111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28797126 + ... + 31716851.

It is an arithmetic number, because the mean of its divisors is an integer number (3360885824142).

Almost surely, 288342116005151 is an apocalyptic number.

88342116005151 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

88342116005151 is a deficient number, since it is larger than the sum of its proper divisors (46093316960529).

88342116005151 is a wasteful number, since it uses less digits than its factorization.

88342116005151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60514325 (or 60514316 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 88342116005151 in words is "eighty-eight trillion, three hundred forty-two billion, one hundred sixteen million, five thousand, one hundred fifty-one".

Divisors: 1 3 9 27 67 81 201 269 603 807 1809 2421 5427 7263 18023 21789 54069 162207 486621 1459863 60513977 181541931 544625793 1633877379 4054436459 4901632137 12163309377 16278259813 36489928131 48834779439 109469784393 146504338317 328409353179 439513014951 1090643407471 1318539044853 3271930222413 9815790667239 29447372001717 88342116005151