Search a number
-
+
621876405696 = 263713315472099
BaseRepresentation
bin10010000110010101011…
…10001110010111000000
32012110011122011121110020
421003022232032113000
540142100324440241
61153404105333440
762633451142320
oct11031256162700
92173148147406
10621876405696
1121a811022a27
12a0635197280
1346847cc7570
1422155851280
151129a6d5b66
hex90cab8e5c0

621876405696 has 448 divisors, whose sum is σ = 2095229337600. Its totient is φ = 158355025920.

The previous prime is 621876405671. The next prime is 621876405713. The reversal of 621876405696 is 696504678126.

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

It is a super-2 number, since 2×6218764056962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296271655 + ... + 296273753.

It is an arithmetic number, because the mean of its divisors is an integer number (4676851200).

Almost surely, 2621876405696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621876405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047614668800).

621876405696 is an abundant number, since it is smaller than the sum of its proper divisors (1473352931904).

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

621876405696 is a wasteful number, since it uses less digits than its factorization.

621876405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 621876405696 in words is "six hundred twenty-one billion, eight hundred seventy-six million, four hundred five thousand, six hundred ninety-six".