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12626496319101 = 372373596466501
BaseRepresentation
bin1011011110111101010111…
…0100111110111001111101
31122201002012020102122000120
42313233111310332321331
53123333031024202401
642504310552245153
72442143230606200
oct267572564767175
948632166378016
1012626496319101
11402895a000085
1214bb1240a07b9
1370789a887302
143191a8c31937
1516d69dece836
hexb7bd5d3ee7d

12626496319101 has 48 divisors (see below), whose sum is σ = 20169278398080. Its totient is φ = 7000581168000.

The previous prime is 12626496319057. The next prime is 12626496319109. The reversal of 12626496319101 is 10191369462621.

It is not a de Polignac number, because 12626496319101 - 219 = 12626495794813 is a prime.

It is a super-2 number, since 2×126264963191012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12626496319109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280650 + ... + 5185851.

It is an arithmetic number, because the mean of its divisors is an integer number (420193299960).

Almost surely, 212626496319101 is an apocalyptic number.

It is an amenable number.

12626496319101 is a deficient number, since it is larger than the sum of its proper divisors (7542782078979).

12626496319101 is a wasteful number, since it uses less digits than its factorization.

12626496319101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466914 (or 6466907 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 12626496319101 in words is "twelve trillion, six hundred twenty-six billion, four hundred ninety-six million, three hundred nineteen thousand, one hundred one".

Divisors: 1 3 7 21 37 49 111 147 259 359 777 1077 1813 2513 5439 7539 13283 17591 39849 52773 92981 278943 650867 1952601 6466501 19399503 45265507 135796521 239260537 316858549 717781611 950575647 1674823759 2321473859 5024471277 6964421577 11723766313 16250317013 35171298939 48750951039 85894532783 113752219091 257683598349 341256657273 601261729481 1803785188443 4208832106367 12626496319101