Search a number
-
+
23869272074688 = 2632612003339161
BaseRepresentation
bin1010110110101011111110…
…11110111010100111000000
310010111212202121111112011100
411123111333132322213000
511112033232122342223
6122433220415014400
75012332546011315
oct533257736724700
9103455677445140
1023869272074688
1176729a08a7507
122816036b0a400
131041b2a46b9c1
145c73c9568d0c
152b5d64141043
hex15b57f7ba9c0

23869272074688 has 168 divisors, whose sum is σ = 69573470490576. Its totient is φ = 7822060646400.

The previous prime is 23869272074633. The next prime is 23869272074701. The reversal of 23869272074688 is 88647027296832.

23869272074688 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 92 + 72 + 0 + 7 + 468 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70207828 + ... + 70546988.

Almost surely, 223869272074688 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 23869272074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786735245288).

23869272074688 is an abundant number, since it is smaller than the sum of its proper divisors (45704198415888).

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

23869272074688 is a wasteful number, since it uses less digits than its factorization.

23869272074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341243 (or 341230 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 23869272074688 in words is "twenty-three trillion, eight hundred sixty-nine billion, two hundred seventy-two million, seventy-four thousand, six hundred eighty-eight".