Search a number
-
+
2013989259312 = 243279696725411
BaseRepresentation
bin11101010011101011000…
…111010100100000110000
321010112110101002212002100
4131103223013110200300
5230444122222244222
64141114111220400
7265335350150442
oct35235307244060
97115411085070
102013989259312
11707145483418
122863a8b17700
13117bc28824c4
146d69876c492
15375c61dd4ac
hex1d4eb1d4830

2013989259312 has 120 divisors (see below), whose sum is σ = 5708763107840. Its totient is φ = 662710688640.

The previous prime is 2013989259311. The next prime is 2013989259313. The reversal of 2013989259312 is 2139529893102.

2013989259312 is a `hidden beast` number, since 2 + 0 + 1 + 39 + 8 + 9 + 2 + 593 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2013989259311) and next prime (2013989259313).

It is not an unprimeable number, because it can be changed into a prime (2013989259311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 79243887 + ... + 79269297.

Almost surely, 22013989259312 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 2013989259312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854381553920).

2013989259312 is an abundant number, since it is smaller than the sum of its proper divisors (3694773848528).

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

2013989259312 is a wasteful number, since it uses less digits than its factorization.

2013989259312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32471 (or 32462 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 2013989259312 in words is "two trillion, thirteen billion, nine hundred eighty-nine million, two hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 6967 11376 13934 20901 25411 27868 41802 50822 55736 62703 76233 83604 101644 111472 125406 152466 167208 203288 228699 250812 304932 334416 406576 457398 501624 550393 609864 914796 1003248 1100786 1219728 1651179 1829592 2007469 2201572 3302358 3659184 4014938 4403144 4953537 6022407 6604716 8029876 8806288 9907074 12044814 13209432 16059752 18067221 19814148 24089628 26418864 32119504 36134442 39628296 48179256 72268884 79256592 96358512 144537768 177038437 289075536 354076874 531115311 708153748 1062230622 1416307496 1593345933 2124461244 2832614992 3186691866 4248922488 6373383732 8497844976 12746767464 13986036523 25493534928 27972073046 41958109569 55944146092 83916219138 111888292184 125874328707 167832438276 223776584368 251748657414 335664876552 503497314828 671329753104 1006994629656 2013989259312