Search a number
-
+
5213962690560 = 21334513217547
BaseRepresentation
bin100101111011111100001…
…1001001110000000000000
3200110110011000122222120000
41023313320121032000000
51140411143422044220
615031132243320000
71045460566423611
oct113677031160000
920413130588500
105213962690560
111730258013848
12702601680000
132ba8a005b300
141404dddcbc08
15909618a9390
hex4bdf864e000

5213962690560 has 1680 divisors, whose sum is σ = 21470106824496. Its totient is φ = 1205732376576.

The previous prime is 5213962690537. The next prime is 5213962690583. The reversal of 5213962690560 is 650962693125.

It is a happy number.

5213962690560 is a `hidden beast` number, since 5 + 2 + 1 + 3 + 9 + 626 + 9 + 0 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5213962690537) and next prime (5213962690583).

It is a super-2 number, since 2×52139626905602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5213962690497 and 5213962690506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9531924207 + ... + 9531924753.

Almost surely, 25213962690560 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 5213962690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735053412248).

5213962690560 is an abundant number, since it is smaller than the sum of its proper divisors (16256144133936).

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

5213962690560 is a wasteful number, since it uses less digits than its factorization.

5213962690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 5213962690560 in words is "five trillion, two hundred thirteen billion, nine hundred sixty-two million, six hundred ninety thousand, five hundred sixty".