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106316039604944 = 2413511134805793
BaseRepresentation
bin11000001011000110100001…
…110001100100101011010000
3111221102201021121010110111102
4120023012201301210223100
5102413340222114324234
61014040525255203532
731252036400030531
oct3013064161445320
9457381247113442
10106316039604944
113096a419781484
12bb109166765a8
134742737346630
141c37a1c064688
15c457ce131c7e
hex60b1a1c64ad0

106316039604944 has 20 divisors (see below), whose sum is σ = 221832505714596. Its totient is φ = 49068941356032.

The previous prime is 106316039604919. The next prime is 106316039604947. The reversal of 106316039604944 is 449406930613601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11024471777344 + 95291567827600 = 3320312^2 + 9761740^2 .

It is a super-2 number, since 2×1063160396049442 (a number of 29 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 106316039604944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106316039604947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255567402689 + ... + 255567403104.

Almost surely, 2106316039604944 is an apocalyptic number.

It is an amenable number.

106316039604944 is an abundant number, since it is smaller than the sum of its proper divisors (115516466109652).

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

106316039604944 is a wasteful number, since it uses less digits than its factorization.

106316039604944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511134805814 (or 511134805808 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 56.

The spelling of 106316039604944 in words is "one hundred six trillion, three hundred sixteen billion, thirty-nine million, six hundred four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 511134805793 1022269611586 2044539223172 4089078446344 6644752475309 8178156892688 13289504950618 26579009901236 53158019802472 106316039604944