Search a number
-
+
521143389914742 = 232729142622712073
BaseRepresentation
bin111011001111110100010011…
…0101000100000011001110110
32112100012211011212212222010100
41312133220212220200121312
51021301403130304232432
65044213545045534530
7214525240011056310
oct16637504650403166
92470184155788110
10521143389914742
11141063741476a71
124a5490b6a14446
13194a37c2c0974a
1492996906527b0
15403b20763107c
hex1d9fa26a20676

521143389914742 has 48 divisors (see below), whose sum is σ = 1334948585012640. Its totient is φ = 143763693768576.

The previous prime is 521143389914701. The next prime is 521143389914801. The reversal of 521143389914742 is 247419983341125.

521143389914742 is a `hidden beast` number, since 5 + 2 + 1 + 1 + 43 + 38 + 9 + 91 + 474 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 521143389914742.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71311352383 + ... + 71311359690.

It is an arithmetic number, because the mean of its divisors is an integer number (27811428854430).

Almost surely, 2521143389914742 is an apocalyptic number.

521143389914742 is an abundant number, since it is smaller than the sum of its proper divisors (813805195097898).

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

521143389914742 is a wasteful number, since it uses less digits than its factorization.

521143389914742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142622712117 (or 142622712114 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 521143389914742 in words is "five hundred twenty-one trillion, one hundred forty-three billion, three hundred eighty-nine million, nine hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 142622712073 285245424146 427868136219 855736272438 998358984511 1283604408657 1996717969022 2567208817314 2995076953533 4136058650117 5990153907066 8272117300234 8985230860599 12408175950351 17970461721198 24816351900702 28952410550819 37224527851053 57904821101638 74449055702106 86857231652457 173714463304914 260571694957371 521143389914742