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13999670614692 = 223278919311932711
BaseRepresentation
bin1100101110111000110101…
…1001001101101010100100
31211120100121010010110001200
43023232031121031222210
53313332311134132232
645435205423122500
72643304613542410
oct313561531155244
954510533113050
1013999670614692
114508255100624
1216a1291443430
137a7217937bb9
14365832809d40
1519426c03777c
hexcbb8d64daa4

13999670614692 has 288 divisors, whose sum is σ = 41159456432640. Its totient is φ = 3929723043840.

The previous prime is 13999670614691. The next prime is 13999670614711. The reversal of 13999670614692 is 29641607699931.

13999670614692 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 96 + 70 + 6 + 1 + 469 + 2 = 666.

It is a super-2 number, since 2×139996706146922 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13999670614692.

It is not an unprimeable number, because it can be changed into a prime (13999670614691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5164023217 + ... + 5164025927.

It is an arithmetic number, because the mean of its divisors is an integer number (142914779280).

Almost surely, 213999670614692 is an apocalyptic number.

13999670614692 is a gapful number since it is divisible by the number (12) 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 13999670614692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20579728216320).

13999670614692 is an abundant number, since it is smaller than the sum of its proper divisors (27159785817948).

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

13999670614692 is a wasteful number, since it uses less digits than its factorization.

13999670614692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 13999670614692 in words is "thirteen trillion, nine hundred ninety-nine billion, six hundred seventy million, six hundred fourteen thousand, six hundred ninety-two".