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13849997570640 = 243257112192531187
BaseRepresentation
bin1100100110001011010000…
…1011110111001001010000
31211001001021010220000102200
43021202310023313021100
53303404243334230030
645242333454243200
72626425564630450
oct311426413671120
954031233800380
1013849997570640
11445a829618300
1216782801b6500
13796084033aca
1435c4b4647d60
1519040beddd60
hexc98b42f7250

13849997570640 has 2160 divisors, whose sum is σ = 62882977981824. Its totient is φ = 2672755937280.

The previous prime is 13849997570627. The next prime is 13849997570641. The reversal of 13849997570640 is 4607579994831.

13849997570640 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 9 + 9 + 9 + 7 + 570 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849997570641) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11668068127 + ... + 11668069313.

Almost surely, 213849997570640 is an apocalyptic number.

13849997570640 is a gapful number since it is divisible by the number (10) 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 13849997570640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31441488990912).

13849997570640 is an abundant number, since it is smaller than the sum of its proper divisors (49032980411184).

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

13849997570640 is a wasteful number, since it uses less digits than its factorization.

13849997570640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 13849997570640 in words is "thirteen trillion, eight hundred forty-nine billion, nine hundred ninety-seven million, five hundred seventy thousand, six hundred forty".