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12153532343344 = 247593293955837
BaseRepresentation
bin1011000011011011011011…
…1110100110010000110000
31121000212101120021020210021
42300312312332212100300
53043110413234441334
641503131121013224
72363030601261610
oct260666676462060
947025346236707
1012153532343344
113966314190877
121443529484214
136a20c4a21122
1430033c54aa40
1516121bb9a3b4
hexb0db6fa6430

12153532343344 has 80 divisors (see below), whose sum is σ = 27368839353600. Its totient is φ = 5120127251712.

The previous prime is 12153532343339. The next prime is 12153532343411. The reversal of 12153532343344 is 44334323535121.

12153532343344 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 2×121535323433442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12153532343344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217632994 + ... + 217688830.

It is an arithmetic number, because the mean of its divisors is an integer number (342110491920).

Almost surely, 212153532343344 is an apocalyptic number.

12153532343344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12153532343344 is an abundant number, since it is smaller than the sum of its proper divisors (15215307010256).

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

12153532343344 is a wasteful number, since it uses less digits than its factorization.

12153532343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88850 (or 88844 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 43.

Adding to 12153532343344 its reverse (44334323535121), we get a palindrome (56487855878465).

The spelling of 12153532343344 in words is "twelve trillion, one hundred fifty-three billion, five hundred thirty-two million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 32939 55837 65878 111674 131756 223348 230573 263512 390859 446696 461146 527024 781718 893392 922292 1563436 1844584 1943401 3126872 3294383 3689168 3886802 6253744 6588766 7773604 13177532 13603807 15547208 23060681 26355064 27207614 31094416 46121362 52710128 54415228 92242724 108830456 184485448 217660912 368970896 1839214943 3678429886 7356859772 12874504601 14713719544 25749009202 29427439088 51498018404 102996036808 108513681637 205992073616 217027363274 434054726548 759595771459 868109453096 1519191542918 1736218906192 3038383085836 6076766171672 12153532343344