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137383264248 = 23313143696967
BaseRepresentation
bin111111111110010101…
…1100011111111111000
3111010121110211221010020
41333330223203333320
54222330103423443
6143040224050440
712632325323046
oct1777453437770
9433543757106
10137383264248
115329a2a890a
1222761463a20
13cc5570c649
146913cb1396
153891137583
hex1ffcae3ff8

137383264248 has 32 divisors (see below), whose sum is σ = 346079986560. Its totient is φ = 45444844640.

The previous prime is 137383264241. The next prime is 137383264253. The reversal of 137383264248 is 842462383731.

It is a super-2 number, since 2×1373832642482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137383264248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137383264241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21845340 + ... + 21851627.

It is an arithmetic number, because the mean of its divisors is an integer number (10814999580).

Almost surely, 2137383264248 is an apocalyptic number.

It is an amenable number.

137383264248 is an abundant number, since it is smaller than the sum of its proper divisors (208696722312).

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

137383264248 is a wasteful number, since it uses less digits than its factorization.

137383264248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43697107 (or 43697103 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 137383264248 in words is "one hundred thirty-seven billion, three hundred eighty-three million, two hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 131 262 393 524 786 1048 1572 3144 43696967 87393934 131090901 174787868 262181802 349575736 524363604 1048727208 5724302677 11448605354 17172908031 22897210708 34345816062 45794421416 68691632124 137383264248