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13754686643712 = 293372173153727
BaseRepresentation
bin1100100000101000001100…
…1101100001111000000000
31210200221020202120021012000
43020022003031201320000
53300324044240044322
645130452114304000
72616512646260100
oct310120315417000
953627222507160
1013754686643712
11442336a032203
121661900888000
1378a0a4b2a721
14357a3226d200
1518cbce78e3ac
hexc8283361e00

13754686643712 has 1920 divisors, whose sum is σ = 52815099617280. Its totient is φ = 3507058114560.

The previous prime is 13754686643657. The next prime is 13754686643713. The reversal of 13754686643712 is 21734668645731.

13754686643712 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 468 + 66 + 43 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (121927680) is a multiple of the sum of its prime divisors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 13754686643712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13754686643713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18919788693 + ... + 18919789419.

It is an arithmetic number, because the mean of its divisors is an integer number (27507864384).

Almost surely, 213754686643712 is an apocalyptic number.

13754686643712 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 13754686643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26407549808640).

13754686643712 is an abundant number, since it is smaller than the sum of its proper divisors (39060412973568).

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

13754686643712 is a wasteful number, since it uses less digits than its factorization.

13754686643712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 840 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 13754686643712 in words is "thirteen trillion, seven hundred fifty-four billion, six hundred eighty-six million, six hundred forty-three thousand, seven hundred twelve".