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4130917296 = 2431129269783
BaseRepresentation
bin1111011000111000…
…1100101110110000
3101122220001100012220
43312032030232300
531430003323141
61521523521040
7204240134442
oct36616145660
911586040186
104130917296
11182a882340
12973529180
1350aa9b87c
142b28b2492
151929d5766
hexf638cbb0

4130917296 has 80 divisors (see below), whose sum is σ = 12043157760. Its totient is φ = 1208623360.

The previous prime is 4130917253. The next prime is 4130917303. The reversal of 4130917296 is 6927190314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119580 + ... + 150203.

It is an arithmetic number, because the mean of its divisors is an integer number (150539472).

Almost surely, 24130917296 is an apocalyptic number.

It is an amenable number.

4130917296 is an abundant number, since it is smaller than the sum of its proper divisors (7912240464).

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

4130917296 is a wasteful number, since it uses less digits than its factorization.

4130917296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269834 (or 269828 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 4130917296 is about 64272.2124716428. The cubic root of 4130917296 is about 1604.5336644622.

The spelling of 4130917296 in words is "four billion, one hundred thirty million, nine hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3828 5104 7656 15312 269783 539566 809349 1079132 1618698 2158264 2967613 3237396 4316528 5935226 6474792 7823707 8902839 11870452 12949584 15647414 17805678 23471121 23740904 31294828 35611356 46942242 47481808 62589656 71222712 86060777 93884484 125179312 142445424 172121554 187768968 258182331 344243108 375537936 516364662 688486216 1032729324 1376972432 2065458648 4130917296