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106485178318632 = 233210202314496347
BaseRepresentation
bin11000001101100100000011…
…001110100011111100101000
3111222000212212011110100220200
4120031210003032203330220
5102424123121122144012
61014250340544552200
731300204662260061
oct3015440316437450
9458025764410820
10106485178318632
1130a25124109483
12bb3965a922660
134755680a10239
141c41ca557b568
15c49dcd04b3dc
hex60d9033a3f28

106485178318632 has 48 divisors (see below), whose sum is σ = 288400204628640. Its totient is φ = 35494709078688.

The previous prime is 106485178318591. The next prime is 106485178318633. The reversal of 106485178318632 is 236813871584601.

It is a happy number.

106485178318632 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 517 + 8 + 3 + 1 + 86 + 32 = 666.

106485178318632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064851783186322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106485178318632.

It is not an unprimeable number, because it can be changed into a prime (106485178318633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97483 + ... + 14593829.

It is an arithmetic number, because the mean of its divisors is an integer number (6008337596430).

Almost surely, 2106485178318632 is an apocalyptic number.

106485178318632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106485178318632 is an abundant number, since it is smaller than the sum of its proper divisors (181915026310008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106485178318632 is a wasteful number, since it uses less digits than its factorization.

106485178318632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598382 (or 14598375 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 106485178318632 in words is "one hundred six trillion, four hundred eighty-five billion, one hundred seventy-eight million, three hundred eighteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 102023 204046 306069 408092 612138 816184 918207 1224276 1836414 2448552 3672828 7345656 14496347 28992694 43489041 57985388 86978082 115970776 130467123 173956164 260934246 347912328 521868492 1043736984 1478960809981 2957921619962 4436882429943 5915843239924 8873764859886 11831686479848 13310647289829 17747529719772 26621294579658 35495059439544 53242589159316 106485178318632