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15000420543012 = 22326145171512241
BaseRepresentation
bin1101101001001000111010…
…1111001110101000100100
31222010000201002200011210200
43122102032233032220210
53431231330124334022
651523033103150500
73105513255561402
oct332221657165044
958100632604720
1015000420543012
114863708377793
1218232225a5430
1384a6c23a46b8
1439c04a6a6472
151b02de534bac
hexda48ebcea24

15000420543012 has 72 divisors (see below), whose sum is σ = 38547889386552. Its totient is φ = 4917078604800.

The previous prime is 15000420542981. The next prime is 15000420543077. The reversal of 15000420543012 is 21034502400051.

15000420543012 is a `hidden beast` number, since 15 + 0 + 0 + 0 + 4 + 205 + 430 + 12 = 666.

15000420543012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5526373478976 + 9474047064036 = 2350824^2 + 3077994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9163212 + ... + 10675452.

It is an arithmetic number, because the mean of its divisors is an integer number (535387352591).

Almost surely, 215000420543012 is an apocalyptic number.

15000420543012 is a gapful number since it is divisible by the number (12) 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 15000420543012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273944693276).

15000420543012 is an abundant number, since it is smaller than the sum of its proper divisors (23547468843540).

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

15000420543012 is a wasteful number, since it uses less digits than its factorization.

15000420543012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516829 (or 1516824 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 15000420543012 its reverse (21034502400051), we get a palindrome (36034922943063).

The spelling of 15000420543012 in words is "fifteen trillion, four hundred twenty million, five hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4517 9034 13551 18068 27102 40653 54204 81306 162612 275537 551074 826611 1102148 1512241 1653222 2479833 3024482 3306444 4536723 4959666 6048964 9073446 9919332 13610169 18146892 27220338 54440676 92246701 184493402 276740103 368986804 553480206 830220309 1106960412 1660440618 3320881236 6830792597 13661585194 20492377791 27323170388 40984755582 61477133373 81969511164 122954266746 245908533492 416678348417 833356696834 1250035045251 1666713393668 2500070090502 3750105135753 5000140181004 7500210271506 15000420543012