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2072315336 = 2371318115727
BaseRepresentation
bin111101110000101…
…0000010111001000
312100102102112012212
41323201100113020
513221003042321
6541344524252
7102232250450
oct17341202710
95312375185
102072315336
1197384a203
1249a020688
132704469c0
14159320d60
15c1de955b
hex7b8505c8

2072315336 has 64 divisors (see below), whose sum is σ = 4808993280. Its totient is φ = 815235840.

The previous prime is 2072315291. The next prime is 2072315339. The reversal of 2072315336 is 6335132702.

It is not an unprimeable number, because it can be changed into a prime (2072315339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123905 + ... + 139631.

It is an arithmetic number, because the mean of its divisors is an integer number (75140520).

Almost surely, 22072315336 is an apocalyptic number.

2072315336 is a gapful number since it is divisible by the number (26) 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 2072315336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404496640).

2072315336 is an abundant number, since it is smaller than the sum of its proper divisors (2736677944).

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

2072315336 is a wasteful number, since it uses less digits than its factorization.

2072315336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15934 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 2072315336 is about 45522.6903422897. The cubic root of 2072315336 is about 1274.9268877210.

The spelling of 2072315336 in words is "two billion, seventy-two million, three hundred fifteen thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 181 182 362 364 724 728 1267 1448 2353 2534 4706 5068 9412 10136 15727 16471 18824 31454 32942 62908 65884 110089 125816 131768 204451 220178 408902 440356 817804 880712 1431157 1635608 2846587 2862314 5693174 5724628 11386348 11449256 19926109 22772696 37005631 39852218 74011262 79704436 148022524 159408872 259039417 296045048 518078834 1036157668 2072315336