Search a number
-
+
156137811320 = 23553653112787
BaseRepresentation
bin1001000101101010001…
…0011110110101111000
3112221000111211122010202
42101122202132311320
510024232234430240
6155421223101332
714165145332621
oct2213242366570
9487014748122
10156137811320
11602437a6697
12263162a1848
131195406a28a
1477b29d4a48
1540dc88a315
hex245a89ed78

156137811320 has 64 divisors (see below), whose sum is σ = 358489890720. Its totient is φ = 61182344704.

The previous prime is 156137811301. The next prime is 156137811331. The reversal of 156137811320 is 23118731651.

156137811320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1561378113202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327967 + ... + 1440753.

Almost surely, 2156137811320 is an apocalyptic number.

156137811320 is a gapful number since it is divisible by the number (10) 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 156137811320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179244945360).

156137811320 is an abundant number, since it is smaller than the sum of its proper divisors (202352079400).

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

156137811320 is a wasteful number, since it uses less digits than its factorization.

156137811320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113504 (or 113500 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 156137811320 in words is "one hundred fifty-six billion, one hundred thirty-seven million, eight hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 653 1060 1306 2120 2612 3265 5224 6530 13060 26120 34609 69218 112787 138436 173045 225574 276872 346090 451148 563935 692180 902296 1127870 1384360 2255740 4511480 5977711 11955422 23910844 29888555 47821688 59777110 73649911 119554220 147299822 239108440 294599644 368249555 589199288 736499110 1472998220 2945996440 3903445283 7806890566 15613781132 19517226415 31227562264 39034452830 78068905660 156137811320