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132874340144650 = 25213655131204711
BaseRepresentation
bin11110001101100100110111…
…110110000001011000001010
3122102110122220020002111210021
4132031210313312001120022
5114404003122034112100
61150333343522411054
736662566005624256
oct3615446766013012
9572418806074707
10132874340144650
1139379766a91785
1212a9bb2b800a8a
13591acc54473a0
1424b521c1a3266
151056576edca1a
hex78d937d8160a

132874340144650 has 48 divisors (see below), whose sum is σ = 266198161477248. Its totient is φ = 49053804120000.

The previous prime is 132874340144633. The next prime is 132874340144687. The reversal of 132874340144650 is 56441043478231.

It is a happy number.

It is a super-2 number, since 2×1328743401446502 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

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, 11344206 + ... + 19860505.

It is an arithmetic number, because the mean of its divisors is an integer number (5545795030776).

Almost surely, 2132874340144650 is an apocalyptic number.

132874340144650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132874340144650 is an abundant number, since it is smaller than the sum of its proper divisors (133323821332598).

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

132874340144650 is a wasteful number, since it uses less digits than its factorization.

132874340144650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31211287 (or 31211282 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 132874340144650 in words is "one hundred thirty-two trillion, eight hundred seventy-four billion, three hundred forty million, one hundred forty-four thousand, six hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 6551 13102 32755 65510 85163 163775 170326 327550 425815 851630 2129075 4258150 31204711 62409422 156023555 312047110 405661243 780117775 811322486 1560235550 2028306215 4056612430 10141531075 20283062150 204422061761 408844123522 1022110308805 2044220617610 2657486802893 5110551544025 5314973605786 10221103088050 13287434014465 26574868028930 66437170072325 132874340144650