Search a number
-
+
5690700173664 = 2532111931113137197
BaseRepresentation
bin101001011001111100000…
…1010011001000101100000
3202011000200200100101201200
41102303320022121011200
51221214023221024124
620034134354201200
71125065566240302
oct122637012310540
922130620311650
105690700173664
1118a4459989a70
1277aa8bb83200
1332382791418c
14159607909972
159d065124bc9
hex52cf8299160

5690700173664 has 1152 divisors, whose sum is σ = 19592698245120. Its totient is φ = 1547668684800.

The previous prime is 5690700173611. The next prime is 5690700173693. The reversal of 5690700173664 is 4663710070965.

It is a happy number.

5690700173664 is a `hidden beast` number, since 569 + 0 + 7 + 0 + 0 + 1 + 73 + 6 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5690700173664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28886802814 + ... + 28886803010.

It is an arithmetic number, because the mean of its divisors is an integer number (17007550560).

Almost surely, 25690700173664 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 5690700173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796349122560).

5690700173664 is an abundant number, since it is smaller than the sum of its proper divisors (13901998071456).

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

5690700173664 is a wasteful number, since it uses less digits than its factorization.

5690700173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 5690700173664 in words is "five trillion, six hundred ninety billion, seven hundred million, one hundred seventy-three thousand, six hundred sixty-four".