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3083061900468 = 22311443285118493
BaseRepresentation
bin101100110111010100110…
…011110011010010110100
3101220201220212220000021010
4230313110303303102310
5401003102321303333
610320201124152220
7435513101522154
oct54672463632264
911821825800233
103083061900468
11a89579081a10
12419627238670
13194968110234
14a931458c764
15552e6932563
hex2cdd4cf34b4

3083061900468 has 96 divisors (see below), whose sum is σ = 7868693371392. Its totient is φ = 931774896000.

The previous prime is 3083061900463. The next prime is 3083061900473. The reversal of 3083061900468 is 8640091603803.

It is an interprime number because it is at equal distance from previous prime (3083061900463) and next prime (3083061900473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083061900463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166705830 + ... + 166724322.

It is an arithmetic number, because the mean of its divisors is an integer number (81965555952).

Almost surely, 23083061900468 is an apocalyptic number.

It is an amenable number.

3083061900468 is an abundant number, since it is smaller than the sum of its proper divisors (4785631470924).

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

3083061900468 is a wasteful number, since it uses less digits than its factorization.

3083061900468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21805 (or 21803 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 3083061900468 in words is "three trillion, eighty-three billion, sixty-one million, nine hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 443 886 1329 1772 2658 2851 4873 5316 5702 8553 9746 11404 14619 17106 18493 19492 29238 31361 34212 36986 55479 58476 62722 73972 94083 110958 125444 188166 203423 221916 376332 406846 610269 813692 1220538 1262993 2441076 2525986 3788979 5051972 7577958 8192399 13892923 15155916 16384798 24577197 27785846 32769596 41678769 49154394 52723543 55571692 83357538 90116389 98308788 105447086 158170629 166715076 180232778 210894172 270349167 316341258 360465556 540698334 579958973 632682516 1081396668 1159917946 1739876919 2319835892 3479753838 6959507676 23356529549 46713059098 70069588647 93426118196 140139177294 256921825039 280278354588 513843650078 770765475117 1027687300156 1541530950234 3083061900468