Search a number
-
+
3195466683336 = 23321092291778033
BaseRepresentation
bin101110100000000000101…
…010000001001111001000
3102022111001120022121120100
4232200000222001033020
5404323303432331321
610443551020525400
7446602433436324
oct56400052011710
912274046277510
103195466683336
11102220a700a84
124373773b0860
131a243c8aba85
14b0938cb8984
15581c4be8326
hex2e800a813c8

3195466683336 has 96 divisors (see below), whose sum is σ = 8771930739000. Its totient is φ = 1050774239232.

The previous prime is 3195466683301. The next prime is 3195466683341. The reversal of 3195466683336 is 6333866645913.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2958984828900 + 236481854436 = 1720170^2 + 486294^2 .

It is a super-2 number, since 2×31954666833362 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908176 + ... + 2686208.

Almost surely, 23195466683336 is an apocalyptic number.

3195466683336 is a gapful number since it is divisible by the number (36) 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 3195466683336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385965369500).

3195466683336 is an abundant number, since it is smaller than the sum of its proper divisors (5576464055664).

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

3195466683336 is a wasteful number, since it uses less digits than its factorization.

3195466683336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778383 (or 1778376 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 63.

The spelling of 3195466683336 in words is "three trillion, one hundred ninety-five billion, four hundred sixty-six million, six hundred eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 229 327 436 458 654 687 872 916 981 1308 1374 1832 1962 2061 2616 2748 3924 4122 5496 7848 8244 16488 24961 49922 74883 99844 149766 199688 224649 299532 449298 599064 898596 1778033 1797192 3556066 5334099 7112132 10668198 14224264 16002297 21336396 32004594 42672792 64009188 128018376 193805597 387611194 407169557 581416791 775222388 814339114 1162833582 1221508671 1550444776 1628678228 1744250373 2325667164 2443017342 3257356456 3488500746 3664526013 4651334328 4886034684 6977001492 7329052026 9772069368 13954002984 14658104052 29316208104 44381481713 88762963426 133144445139 177525926852 266288890278 355051853704 399433335417 532577780556 798866670834 1065155561112 1597733341668 3195466683336