Search a number
-
+
3870848229696 = 263371743437771
BaseRepresentation
bin111000010101000000100…
…010001010000101000000
3111201001100001211222201000
4320111000202022011000
51001404444121322241
612122124303212000
7546442141034460
oct70250042120500
914631301758630
103870848229696
111262687a05018
125262432a7000
13221033892486
14d54c8795ba0
156aa52848eb6
hex3854088a140

3870848229696 has 448 divisors, whose sum is σ = 14090514831360. Its totient is φ = 1016691056640.

The previous prime is 3870848229649. The next prime is 3870848229733. The reversal of 3870848229696 is 6969228480783.

3870848229696 is a `hidden beast` number, since 3 + 87 + 0 + 8 + 482 + 2 + 9 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8623291 + ... + 9061061.

Almost surely, 23870848229696 is an apocalyptic number.

3870848229696 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 3870848229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045257415680).

3870848229696 is an abundant number, since it is smaller than the sum of its proper divisors (10219666601664).

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

3870848229696 is a wasteful number, since it uses less digits than its factorization.

3870848229696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437859 (or 437843 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 3870848229696 in words is "three trillion, eight hundred seventy billion, eight hundred forty-eight million, two hundred twenty-nine thousand, six hundred ninety-six".