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248876240112 = 24321728307223
BaseRepresentation
bin1110011111001000101…
…1100000110011110000
3212210101121112221100200
43213302023200303300
513034144304140422
6310155425315200
723660246064603
oct3476213406360
9783347487320
10248876240112
1196603170875
1240298195b00
131a61330c606
14c08d48a33a
15671933d2ac
hex39f22e0cf0

248876240112 has 30 divisors (see below), whose sum is σ = 696507811272. Its totient is φ = 82958746656.

The previous prime is 248876240071. The next prime is 248876240113. The reversal of 248876240112 is 211042678842.

248876240112 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 7 + 624 + 0 + 1 + 12 = 666.

248876240112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248876240113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 864153468 + ... + 864153755.

Almost surely, 2248876240112 is an apocalyptic number.

It is an amenable number.

248876240112 is an abundant number, since it is smaller than the sum of its proper divisors (447631571160).

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

248876240112 is a wasteful number, since it uses less digits than its factorization.

248876240112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728307237 (or 1728307228 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 248876240112 in words is "two hundred forty-eight billion, eight hundred seventy-six million, two hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1728307223 3456614446 5184921669 6913228892 10369843338 13826457784 15554765007 20739686676 27652915568 31109530014 41479373352 62219060028 82958746704 124438120056 248876240112