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164304116263340 = 225131316991978343
BaseRepresentation
bin100101010110111100001000…
…011111000010100110101100
3210112202022122100210121200222
4211112330020133002212230
5133013424312230411330
61341240134034110512
746415403111652304
oct4526741037024654
9715668570717628
10164304116263340
1148396a9125a779
12165172a411b438
13708aa72359331
142c8050c566604
1513eddd907a0e5
hex956f087c29ac

164304116263340 has 48 divisors (see below), whose sum is σ = 347683670611200. Its totient is φ = 65217864104640.

The previous prime is 164304116263321. The next prime is 164304116263349. The reversal of 164304116263340 is 43362611403461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164304116263291 and 164304116263300.

It is not an unprimeable number, because it can be changed into a prime (164304116263349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82062209 + ... + 84040551.

It is an arithmetic number, because the mean of its divisors is an integer number (7243409804400).

Almost surely, 2164304116263340 is an apocalyptic number.

164304116263340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164304116263340 is an abundant number, since it is smaller than the sum of its proper divisors (183379554347860).

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

164304116263340 is a wasteful number, since it uses less digits than its factorization.

164304116263340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010182 (or 2010180 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 164304116263340 in words is "one hundred sixty-four trillion, three hundred four billion, one hundred sixteen million, two hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 31699 63398 126796 158495 316990 633980 1978343 3956686 4152569 7913372 8305138 9891715 16610276 19783430 20762845 39566860 41525690 83051380 259162933 518325866 1036651732 1295814665 2591629330 5183258660 62711494757 125422989514 250845979028 313557473785 627114947570 1254229895140 8215205813167 16430411626334 32860823252668 41076029065835 82152058131670 164304116263340