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12713239509056 = 2623341398207
BaseRepresentation
bin1011100100000000100000…
…0111111111100001000000
31200000101002112001020122122
42321000020013333201000
53131243203303242211
643012214232023412
72451333632552552
oct271001007774100
950011075036578
1012713239509056
1140617222a6619
121513ab2231b68
13712b12a39a48
1431d4773974d2
15170a7948a6db
hexb90081ff840

12713239509056 has 112 divisors (see below), whose sum is σ = 27017807523840. Its totient is φ = 5931931427840.

The previous prime is 12713239509053. The next prime is 12713239509121. The reversal of 12713239509056 is 65090593231721.

It is a super-2 number, since 2×127132395090562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12713239508989 and 12713239509007.

It is not an unprimeable number, because it can be changed into a prime (12713239509053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31727105 + ... + 32125311.

It is an arithmetic number, because the mean of its divisors is an integer number (241230424320).

Almost surely, 212713239509056 is an apocalyptic number.

12713239509056 is a gapful number since it is divisible by the number (16) 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 12713239509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13508903761920).

12713239509056 is an abundant number, since it is smaller than the sum of its proper divisors (14304568014784).

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

12713239509056 is an frugal number, since it uses more digits than its factorization.

12713239509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398329 (or 398273 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 53.

The spelling of 12713239509056 in words is "twelve trillion, seven hundred thirteen billion, two hundred thirty-nine million, five hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 164 184 328 368 529 656 736 943 1058 1312 1472 1886 2116 2624 3772 4232 7544 8464 12167 15088 16928 21689 24334 30176 33856 43378 48668 60352 86756 97336 173512 194672 347024 389344 398207 498847 694048 778688 796414 997694 1388096 1592828 1995388 3185656 3990776 6371312 7981552 9158761 12742624 15963104 16326487 18317522 25485248 31926208 32652974 36635044 65305948 73270088 130611896 146540176 210651503 261223792 293080352 375509201 421303006 522447584 586160704 751018402 842606012 1044895168 1502036804 1685212024 3004073608 3370424048 4844984569 6008147216 6740848096 8636711623 9689969138 12016294432 13481696192 17273423246 19379938276 24032588864 34546846492 38759876552 69093692984 77519753104 138187385968 155039506208 198644367329 276374771936 310079012416 397288734658 552749543872 794577469316 1589154938632 3178309877264 6356619754528 12713239509056