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137346947088 = 24313863255049
BaseRepresentation
bin111111111101010000…
…1000001100000010000
3111010111221111211100020
41333322201001200100
54222241304301323
6143032445423440
712631404534111
oct1777241014020
9433457454306
10137346947088
115328085322a
122275126ab80
13cc4b0351c0
14690d13a208
15388cd61ae3
hex1ffa841810

137346947088 has 80 divisors (see below), whose sum is σ = 382550515200. Its totient is φ = 42211464192.

The previous prime is 137346947047. The next prime is 137346947147. The reversal of 137346947088 is 880749643731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410988 + ... + 666036.

It is an arithmetic number, because the mean of its divisors is an integer number (4781881440).

Almost surely, 2137346947088 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 137346947088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191275257600).

137346947088 is an abundant number, since it is smaller than the sum of its proper divisors (245203568112).

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

137346947088 is a wasteful number, since it uses less digits than its factorization.

137346947088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255936 (or 255930 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 137346947088 in words is "one hundred thirty-seven billion, three hundred forty-six million, nine hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 863 1726 2589 3452 5178 6904 10356 11219 13808 20712 22438 33657 41424 44876 67314 89752 134628 179504 255049 269256 510098 538512 765147 1020196 1530294 2040392 3060588 3315637 4080784 6121176 6631274 9946911 12242352 13262548 19893822 26525096 39787644 53050192 79575288 159150576 220107287 440214574 660321861 880429148 1320643722 1760858296 2641287444 2861394731 3521716592 5282574888 5722789462 8584184193 10565149776 11445578924 17168368386 22891157848 34336736772 45782315696 68673473544 137346947088