Search a number
-
+
102635135530512 = 24313198656809677
BaseRepresentation
bin10111010101100010011010…
…110010110111011000010000
3111110101211020001201022120220
4113111202122302313120100
5101423033224143434022
61002141532542233040
730422100223445334
oct2725423262673020
9443354201638526
10102635135530512
112a780353350682
12b617463285780
1345365b4662350
141b4b7d20517c4
15bceb9701c85c
hex5d589acb7610

102635135530512 has 80 divisors (see below), whose sum is σ = 300564432020160. Its totient is φ = 29917934240256.

The previous prime is 102635135530507. The next prime is 102635135530547. The reversal of 102635135530512 is 215035531536201.

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 15 ways as a sum of consecutive naturals, for example, 4328392983 + ... + 4328416694.

It is an arithmetic number, because the mean of its divisors is an integer number (3757055400252).

Almost surely, 2102635135530512 is an apocalyptic number.

102635135530512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102635135530512 is an abundant number, since it is smaller than the sum of its proper divisors (197929296489648).

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

102635135530512 is a wasteful number, since it uses less digits than its factorization.

102635135530512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656809720 (or 8656809714 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 102635135530512 in words is "one hundred two trillion, six hundred thirty-five billion, one hundred thirty-five million, five hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 8656809677 17313619354 25970429031 34627238708 51940858062 69254477416 103881716124 112538525801 138508954832 164479383863 207763432248 225077051602 328958767726 337615577403 415526864496 450154103204 493438151589 657917535452 675231154806 900308206408 986876303178 1315835070904 1350462309612 1800616412816 1973752606356 2138231990219 2631670141808 2700924619224 3947505212712 4276463980438 5401849238448 6414695970657 7895010425424 8552927960876 12829391941314 17105855921752 25658783882628 34211711843504 51317567765256 102635135530512