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12614947001616 = 2432311426582429
BaseRepresentation
bin1011011110010010010101…
…1011110101010100010000
31122122222101100100111212010
42313210211123311110100
53123140402413022431
642455120542302520
72441254101203511
oct267444533652420
948588340314763
1012614947001616
114023a727909a3
1214b8a40287a40
13706779bcb03b
143187d100ca08
1516d2250d4846
hexb79256f5510

12614947001616 has 40 divisors (see below), whose sum is σ = 34005509311680. Its totient is φ = 4022157014656.

The previous prime is 12614947001599. The next prime is 12614947001617. The reversal of 12614947001616 is 61610074941621.

12614947001616 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 2×126149470016162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12614947001617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5713290111 + ... + 5713292318.

It is an arithmetic number, because the mean of its divisors is an integer number (850137732792).

Almost surely, 212614947001616 is an apocalyptic number.

12614947001616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12614947001616 is an abundant number, since it is smaller than the sum of its proper divisors (21390562310064).

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

12614947001616 is a wasteful number, since it uses less digits than its factorization.

12614947001616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11426582463 (or 11426582457 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 12614947001616 in words is "twelve trillion, six hundred fourteen billion, nine hundred forty-seven million, one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 11426582429 22853164858 34279747287 45706329716 68559494574 91412659432 137118989148 182825318864 262811395867 274237978296 525622791734 548475956592 788434187601 1051245583468 1576868375202 2102491166936 3153736750404 4204982333872 6307473500808 12614947001616