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101943926352 = 24341923180001
BaseRepresentation
bin101111011110001010…
…1001101111001010000
3100202010122111000220000
41132330111031321100
53132240121120402
6114455444050000
710236160035162
oct1367425157120
9322118430800
10101943926352
113a263763804
1217910993900
1397c8483018
144d112c0932
1529b9c22c1c
hex17bc54de50

101943926352 has 200 divisors, whose sum is σ = 324090000960. Its totient is φ = 30792960000.

The previous prime is 101943926339. The next prime is 101943926407. The reversal of 101943926352 is 253629349101.

101943926352 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 3 + 9 + 2 + 635 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101943926298 and 101943926307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476352 + ... + 656352.

Almost surely, 2101943926352 is an apocalyptic number.

101943926352 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 101943926352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162045000480).

101943926352 is an abundant number, since it is smaller than the sum of its proper divisors (222146074608).

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

101943926352 is a wasteful number, since it uses less digits than its factorization.

101943926352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180063 (or 180048 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 101943926352 in words is "one hundred one billion, nine hundred forty-three million, nine hundred twenty-six thousand, three hundred fifty-two".