Search a number
-
+
3943493963136 = 273471312732911
BaseRepresentation
bin111001011000101010100…
…011101000110110000000
3111221222211212121121120000
4321120222203220312000
51004102233423310021
612215341025320000
7554623312422630
oct71305243506600
914858755547500
103943493963136
111290476598852
12538338196000
13227b401a3170
14d8c1a9166c0
156c8a5370b26
hex3962a8e8d80

3943493963136 has 640 divisors, whose sum is σ = 14558204559360. Its totient is φ = 1031821701120.

The previous prime is 3943493963117. The next prime is 3943493963153. The reversal of 3943493963136 is 6313693943493.

3943493963136 is a `hidden beast` number, since 3 + 9 + 4 + 3 + 493 + 9 + 6 + 3 + 136 = 666.

It is a super-2 number, since 2×39434939631362 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119806521 + ... + 119839431.

It is an arithmetic number, because the mean of its divisors is an integer number (22747194624).

Almost surely, 23943493963136 is an apocalyptic number.

3943493963136 is a gapful number since it is divisible by the number (36) 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 3943493963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279102279680).

3943493963136 is an abundant number, since it is smaller than the sum of its proper divisors (10614710596224).

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

3943493963136 is a wasteful number, since it uses less digits than its factorization.

3943493963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33084 (or 33063 counting only the distinct ones).

The product of its digits is 102036672, while the sum is 63.

The spelling of 3943493963136 in words is "three trillion, nine hundred forty-three billion, four hundred ninety-three million, nine hundred sixty-three thousand, one hundred thirty-six".