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34083197468250 = 235376492037613
BaseRepresentation
bin1111011111111100111001…
…11000001011111001011010
311110200022200122002202021020
413233332130320023321122
513431404342022441000
6200253334343423310
710115300256250650
oct757763470137132
9143608618082236
1034083197468250
11a95066a472a47
1239a5675a54b36
131603054932b28
1485b8c7d90dd0
153e18aed00ba0
hex1eff9ce0be5a

34083197468250 has 64 divisors (see below), whose sum is σ = 97224755307264. Its totient is φ = 7790445134400.

The previous prime is 34083197468233. The next prime is 34083197468261. The reversal of 34083197468250 is 5286479138043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246013557 + ... + 3246024056.

It is an arithmetic number, because the mean of its divisors is an integer number (1519136801676).

It is a 1-persistent number, because it is pandigital, but 2⋅34083197468250 = 68166394936500 is not.

Almost surely, 234083197468250 is an apocalyptic number.

34083197468250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34083197468250 is an abundant number, since it is smaller than the sum of its proper divisors (63141557839014).

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

34083197468250 is a wasteful number, since it uses less digits than its factorization.

34083197468250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492037640 (or 6492037630 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 34083197468250 in words is "thirty-four trillion, eighty-three billion, one hundred ninety-seven million, four hundred sixty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 1050 1750 2625 5250 6492037613 12984075226 19476112839 32460188065 38952225678 45444263291 64920376130 90888526582 97380564195 136332789873 162300940325 194761128390 227221316455 272665579746 324601880650 454442632910 486902820975 681663949365 811504701625 973805641950 1136106582275 1363327898730 1623009403250 2272213164550 2434514104875 3408319746825 4869028209750 5680532911375 6816639493650 11361065822750 17041598734125 34083197468250