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4117348716 = 22313193893571
BaseRepresentation
bin1111010101101001…
…1100000101101100
3101121221111222121220
43311122130011230
531413020124331
61520321023340
7204013613055
oct36532340554
911557458556
104117348716
111823155038
1296aa84b50
1350802a920
142b0b7d72c
15191705296
hexf569c16c

4117348716 has 96 divisors (see below), whose sum is σ = 10921747200. Its totient is φ = 1196778240.

The previous prime is 4117348693. The next prime is 4117348721. The reversal of 4117348716 is 6178437114.

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 31 ways as a sum of consecutive naturals, for example, 1151211 + ... + 1154781.

It is an arithmetic number, because the mean of its divisors is an integer number (113768200).

Almost surely, 24117348716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117348716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460873600).

4117348716 is an abundant number, since it is smaller than the sum of its proper divisors (6804398484).

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

4117348716 is a wasteful number, since it uses less digits than its factorization.

4117348716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3997 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 4117348716 is about 64166.5700813126. The cubic root of 4117348716 is about 1602.7749651770.

The spelling of 4117348716 in words is "four billion, one hundred seventeen million, three hundred forty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 389 494 741 778 988 1167 1482 1556 2334 2964 3571 4668 5057 7142 7391 10114 10713 14284 14782 15171 20228 21426 22173 29564 30342 42852 44346 46423 60684 67849 88692 92846 96083 135698 139269 185692 192166 203547 271396 278538 288249 384332 407094 557076 576498 814188 882037 1152996 1389119 1764074 2646111 2778238 3528148 4167357 5292222 5556476 8334714 10584444 16669428 18058547 26393261 36117094 52786522 54175641 72234188 79179783 105573044 108351282 158359566 216702564 316719132 343112393 686224786 1029337179 1372449572 2058674358 4117348716