Search a number
-
+
974890694448 = 243211312234159
BaseRepresentation
bin11100010111111000000…
…00110111011100110000
310110012100210211112122100
432023330000313130300
5111433034004210243
62023505242540400
7130301462114406
oct16137400673460
93405323745570
10974890694448
113464a3422000
12138b34b07700
1370c162110a8
1435283769476
151a55c1a20d3
hexe2fc037730

974890694448 has 240 divisors, whose sum is σ = 3004144865280. Its totient is φ = 295108894080.

The previous prime is 974890694389. The next prime is 974890694461. The reversal of 974890694448 is 844496098479.

974890694448 is a `hidden beast` number, since 9 + 7 + 4 + 8 + 90 + 6 + 94 + 448 = 666.

974890694448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9748906944482 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234402993 + ... + 234407151.

It is an arithmetic number, because the mean of its divisors is an integer number (12517270272).

Almost surely, 2974890694448 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 974890694448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502072432640).

974890694448 is an abundant number, since it is smaller than the sum of its proper divisors (2029254170832).

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

974890694448 is a wasteful number, since it uses less digits than its factorization.

974890694448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5398 counting only the distinct ones).

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

The spelling of 974890694448 in words is "nine hundred seventy-four billion, eight hundred ninety million, six hundred ninety-four thousand, four hundred forty-eight".