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3166113722424 = 2331729297190067
BaseRepresentation
bin101110000100101011000…
…101010111000000111000
3102012200021220112200221220
4232010223011113000320
5403333200103104144
610422254221032040
7444513151412652
oct56045305270070
912180256480856
103166113722424
111010817723aa4
124317450b5620
1319c7425a2053
14ad35277d6d2
1557557cce919
hex2e12b157038

3166113722424 has 128 divisors (see below), whose sum is σ = 8672899910400. Its totient is φ = 958705735680.

The previous prime is 3166113722383. The next prime is 3166113722477. The reversal of 3166113722424 is 4242273116613.

It is a super-4 number, since 4×31661137224244 (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35107839 + ... + 35197905.

It is an arithmetic number, because the mean of its divisors is an integer number (67757030550).

Almost surely, 23166113722424 is an apocalyptic number.

3166113722424 is a gapful number since it is divisible by the number (34) 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 3166113722424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336449955200).

3166113722424 is an abundant number, since it is smaller than the sum of its proper divisors (5506786187976).

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

3166113722424 is a wasteful number, since it uses less digits than its factorization.

3166113722424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93093 (or 93089 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 3166113722424 in words is "three trillion, one hundred sixty-six billion, one hundred thirteen million, seven hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 986 1479 1972 2958 2971 3944 5916 5942 8913 11832 11884 17826 23768 35652 50507 71304 86159 90067 101014 151521 172318 180134 202028 258477 270201 303042 344636 360268 404056 516954 540402 606084 689272 720536 1033908 1080804 1212168 1464703 1531139 2067816 2161608 2611943 2929406 3062278 4394109 4593417 5223886 5858812 6124556 7835829 8788218 9186834 10447772 11717624 12249112 15671658 17576436 18373668 20895544 31343316 35152872 36747336 44403031 62686632 88806062 133209093 177612124 266418186 267589057 355224248 532836372 535178114 802767171 1065672744 1070356228 1605534342 2140712456 3211068684 4549013969 6422137368 7760082653 9098027938 13647041907 15520165306 18196055876 23280247959 27294083814 31040330612 36392111752 46560495918 54588167628 62080661224 93120991836 109176335256 131921405101 186241983672 263842810202 395764215303 527685620404 791528430606 1055371240808 1583056861212 3166113722424