Search a number
-
+
34164612510 = 2357223241233
BaseRepresentation
bin11111110100010111…
…101001110110011110
310021011222202010201220
4133310113221312132
51024432120100020
623410042114210
72316426262200
oct376427516636
9107158663656
1034164612510
1113542040056
1267557ab966
1332b6130862
1419215ac770
15d4e568240
hex7f45e9d9e

34164612510 has 48 divisors (see below), whose sum is σ = 95382024336. Its totient is φ = 7809053952.

The previous prime is 34164612473. The next prime is 34164612541. The reversal of 34164612510 is 1521646143.

It is a congruent number.

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, 11619147 + ... + 11622086.

It is an arithmetic number, because the mean of its divisors is an integer number (1987125507).

Almost surely, 234164612510 is an apocalyptic number.

34164612510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34164612510 is an abundant number, since it is smaller than the sum of its proper divisors (61217411826).

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

34164612510 is a wasteful number, since it uses less digits than its factorization.

34164612510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23241257 (or 23241250 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 34164612510 in words is "thirty-four billion, one hundred sixty-four million, six hundred twelve thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 23241233 46482466 69723699 116206165 139447398 162688631 232412330 325377262 348618495 488065893 697236990 813443155 976131786 1138820417 1626886310 2277640834 2440329465 3416461251 4880658930 5694102085 6832922502 11388204170 17082306255 34164612510