Search a number
-
+
69649082051472 = 24347116152121961
BaseRepresentation
bin11111101011000011100001…
…10010110110101110010000
3100010121101110021120221210000
433311201300302312232100
533112112310001121342
6404044202510010000
720445660116213010
oct1765416062665620
9303541407527700
1069649082051472
1120213012085530
12798a5607a6900
132cb2b59bc9291
14132b068123c40
1580baec0bc44c
hex3f5870cb6b90

69649082051472 has 800 divisors, whose sum is σ = 255948375184128. Its totient is φ = 17759139840000.

The previous prime is 69649082051447. The next prime is 69649082051473. The reversal of 69649082051472 is 27415028094696.

69649082051472 is a `hidden beast` number, since 6 + 9 + 6 + 4 + 90 + 8 + 20 + 51 + 472 = 666.

It is a super-2 number, since 2×696490820514722 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (69649082051473) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3171478572 + ... + 3171500532.

Almost surely, 269649082051472 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 69649082051472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127974187592064).

69649082051472 is an abundant number, since it is smaller than the sum of its proper divisors (186299293132656).

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

69649082051472 is a wasteful number, since it uses less digits than its factorization.

69649082051472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22581 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 69649082051472 in words is "sixty-nine trillion, six hundred forty-nine billion, eighty-two million, fifty-one thousand, four hundred seventy-two".