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34427473168 = 24111943123887
BaseRepresentation
bin100000000100000010…
…011000110100010000
310021212022100211202211
4200010002120310100
51031001413120133
623452112121504
72326100456614
oct400402306420
9107768324684
1034427473168
1113667458170
126809836294
133328726bca
141948475344
15d6768cbcd
hex804098d10

34427473168 has 80 divisors (see below), whose sum is σ = 76777943040. Its totient is φ = 14790211200.

The previous prime is 34427473123. The next prime is 34427473189. The reversal of 34427473168 is 86137472443.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1429321 + ... + 1453207.

It is an arithmetic number, because the mean of its divisors is an integer number (959724288).

Almost surely, 234427473168 is an apocalyptic number.

34427473168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34427473168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388971520).

34427473168 is an abundant number, since it is smaller than the sum of its proper divisors (42350469872).

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

34427473168 is a wasteful number, since it uses less digits than its factorization.

34427473168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24356 (or 24350 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 49.

The spelling of 34427473168 in words is "thirty-four billion, four hundred twenty-seven million, four hundred seventy-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 431 836 862 1672 1724 3344 3448 4741 6896 8189 9482 16378 18964 23887 32756 37928 47774 65512 75856 90079 95548 131024 180158 191096 262757 360316 382192 453853 525514 720632 907706 1051028 1441264 1815412 2102056 3630824 4204112 4992383 7261648 9984766 10295297 19969532 20590594 39939064 41181188 79878128 82362376 113248267 164724752 195610643 226496534 391221286 452993068 782442572 905986136 1564885144 1811972272 2151717073 3129770288 4303434146 8606868292 17213736584 34427473168