Search a number
248505966072 = 233272138397673
BaseRepresentation
bin1110011101110000011…
…1000001110111111000
3212202102210211001212100
43213130013001313320
513032420011403242
6310055001143400
723645131600500
oct3473407016770
9782383731770
10248505966072
1196433159471
12401b418ab60
131a5846a8350
14c056222a00
1566e6a9c54c
hex39dc1c1df8

248505966072 has 576 divisors, whose sum is σ = 863381544480. Its totient is φ = 63987646464.

The previous prime is 248505966061. The next prime is 248505966109. The reversal of 248505966072 is 270669505842.

248505966072 is a `hidden beast` number, since 2 + 4 + 8 + 505 + 9 + 6 + 60 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369250728 + ... + 369251400.

Almost surely, 2248505966072 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 248505966072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431690772240).

248505966072 is an abundant number, since it is smaller than the sum of its proper divisors (614875578408).

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

248505966072 is a wasteful number, since it uses less digits than its factorization.

248505966072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 248505966072 in words is "two hundred forty-eight billion, five hundred five million, nine hundred sixty-six thousand, seventy-two".