Search a number
-
+
132653665102640 = 24511256924084167
BaseRepresentation
bin11110001010010111010110…
…100101100010101100110000
3122101200120022000001212111012
4132022113112211202230300
5114341344201231241030
61150044130310410052
736640624325000663
oct3612272645425460
9571616260055435
10132653665102640
11392a4115749500
1212a65204060928
13590325793c256
1424a86862bb6da
15105095d90a095
hex78a5d6962b30

132653665102640 has 120 divisors (see below), whose sum is σ = 339602664350880. Its totient is φ = 48152918133760.

The previous prime is 132653665102613. The next prime is 132653665102691. The reversal of 132653665102640 is 46201566356231.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6534164 + ... + 17550003.

It is an arithmetic number, because the mean of its divisors is an integer number (2830022202924).

Almost surely, 2132653665102640 is an apocalyptic number.

132653665102640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132653665102640 is an abundant number, since it is smaller than the sum of its proper divisors (206948999248240).

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

132653665102640 is a wasteful number, since it uses less digits than its factorization.

132653665102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24084771 (or 24084754 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 132653665102640 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, six hundred sixty-five million, one hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 569 605 880 968 1138 1210 1936 2276 2420 2845 4552 4840 5690 6259 9104 9680 11380 12518 22760 25036 31295 45520 50072 62590 68849 100144 125180 137698 250360 275396 344245 500720 550792 688490 1101584 1376980 2753960 5507920 24084167 48168334 96336668 120420835 192673336 240841670 264925837 385346672 481683340 529851674 963366680 1059703348 1324629185 1926733360 2119406696 2649258370 2914184207 4238813392 5298516740 5828368414 10597033480 11656736828 13703891023 14570921035 21194066960 23313473656 27407782046 29141842070 46626947312 54815564092 58283684140 68519455115 109631128184 116567368280 137038910230 150742801253 219262256368 233134736560 274077820460 301485602506 548155640920 602971205012 753714006265 1096311281840 1205942410024 1507428012530 1658170813783 2411884820048 3014856025060 3316341627566 6029712050120 6632683255132 8290854068915 12059424100240 13265366510264 16581708137830 26530733020528 33163416275660 66326832551320 132653665102640