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2338464842952 = 233726370697487
BaseRepresentation
bin100010000001110111010…
…111011100010011001000
322021112222122011100122020
4202001313113130103020
5301303133444433302
64550135333124440
7330643224125610
oct42016727342310
98245878140566
102338464842952
11821812492997
12319263189720
1313c693393b84
148127a347a40
1540c674d1ebc
hex220775dc4c8

2338464842952 has 128 divisors (see below), whose sum is σ = 6708577075200. Its totient is φ = 665409339648.

The previous prime is 2338464842951. The next prime is 2338464842953. The reversal of 2338464842952 is 2592484648332.

It is an interprime number because it is at equal distance from previous prime (2338464842951) and next prime (2338464842953).

It is not an unprimeable number, because it can be changed into a prime (2338464842951) 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 31 ways as a sum of consecutive naturals, for example, 312332953 + ... + 312340439.

It is an arithmetic number, because the mean of its divisors is an integer number (52410758400).

Almost surely, 22338464842952 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 2338464842952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354288537600).

2338464842952 is an abundant number, since it is smaller than the sum of its proper divisors (4370112232248).

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

2338464842952 is a wasteful number, since it uses less digits than its factorization.

2338464842952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14835 (or 14831 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 60.

The spelling of 2338464842952 in words is "two trillion, three hundred thirty-eight billion, four hundred sixty-four million, eight hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 263 526 789 1052 1578 1841 2104 3156 3682 5523 6312 7069 7364 7487 11046 14138 14728 14974 21207 22092 22461 28276 29948 42414 44184 44922 49483 52409 56552 59896 84828 89844 98966 104818 148449 157227 169656 179688 197932 209636 296898 314454 395864 419272 593796 628908 1187592 1257816 1859147 1969081 3718294 3938162 5577441 5907243 7436588 7876324 11154882 11814486 13014029 13783567 14873176 15752648 22309764 23628972 26028058 27567134 39042087 41350701 44619528 47257944 52056116 52925603 55134268 78084174 82701402 104112232 105851206 110268536 156168348 158776809 165402804 211702412 312336696 317553618 330805608 370479221 423404824 635107236 740958442 1111437663 1270214472 1481916884 2222875326 2963833768 4445750652 8891501304 13919433589 27838867178 41758300767 55677734356 83516601534 97436035123 111355468712 167033203068 194872070246 292308105369 334066406136 389744140492 584616210738 779488280984 1169232421476 2338464842952