Search a number
-
+
8221156969536 = 26347256892
BaseRepresentation
bin111011110100010001100…
…1001000000110001000000
31002002221020120020111110000
41313220203021000301000
52034143412141011121
625252425233240000
71505646635146200
oct167504311006100
932087216214400
108221156969536
11268a633869825
12b09394a03000
134783371c7404
14205c98574400
15e3cb79e1526
hex77a23240c40

8221156969536 has 315 divisors, whose sum is σ = 28353858032709. Its totient is φ = 2348489106432.

The previous prime is 8221156969513. The next prime is 8221156969537. The reversal of 8221156969536 is 6359696511228.

The square root of 8221156969536 is 2867256.

It is a perfect power (a square), and thus also a powerful number.

8221156969536 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 1 + 5 + 6 + 96 + 9 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7855373929536 + 365783040000 = 2802744^2 + 604800^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8221156969537) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1445094180 + ... + 1445099868.

Almost surely, 28221156969536 is an apocalyptic number.

8221156969536 is the 2867256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221156969536

8221156969536 is an abundant number, since it is smaller than the sum of its proper divisors (20132701063173).

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

8221156969536 is an frugal number, since it uses more digits than its factorization.

8221156969536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 5701 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 8221156969536 in words is "eight trillion, two hundred twenty-one billion, one hundred fifty-six million, nine hundred sixty-nine thousand, five hundred thirty-six".