Search a number
-
+
12397630770216 = 23331723233630017
BaseRepresentation
bin1011010001101000110001…
…1000001100110000101000
31121220012110012112010112000
42310122030120030300220
53111110321434121331
642211220513251000
72416461563544036
oct264321430146050
947805405463460
1012397630770216
113a4a89540085a
1214828b1563a60
136bc1262269c3
1430c097251556
151677568200e6
hexb468c60cc28

12397630770216 has 256 divisors, whose sum is σ = 38212355750400. Its totient is φ = 3704373116928.

The previous prime is 12397630770181. The next prime is 12397630770253. The reversal of 12397630770216 is 61207703679321.

12397630770216 is a `hidden beast` number, since 1 + 2 + 397 + 6 + 30 + 7 + 7 + 0 + 216 = 666.

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

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, 19363240 + ... + 19993256.

It is an arithmetic number, because the mean of its divisors is an integer number (149267014650).

Almost surely, 212397630770216 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 12397630770216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19106177875200).

12397630770216 is an abundant number, since it is smaller than the sum of its proper divisors (25814724980184).

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

12397630770216 is a wasteful number, since it uses less digits than its factorization.

12397630770216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630305 (or 630295 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 12397630770216 in words is "twelve trillion, three hundred ninety-seven billion, six hundred thirty million, seven hundred seventy thousand, two hundred sixteen".