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242945603264 = 26721331192233
BaseRepresentation
bin1110001001000010101…
…1111011011011000000
3212020002022000101001002
43202100223323123000
512440023033301024
6303335131231132
723360263361300
oct3422053733300
9766068011032
10242945603264
119403a506601
123b101ba84a8
1319ba971b540
14ba89975600
1564bd8576ae
hex3890afb6c0

242945603264 has 168 divisors, whose sum is σ = 623428702848. Its totient is φ = 93009530880.

The previous prime is 242945603249. The next prime is 242945603269. The reversal of 242945603264 is 462306549242.

It is a super-2 number, since 2×2429456032642 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242945603269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167692 + ... + 1359924.

It is an arithmetic number, because the mean of its divisors is an integer number (3710885136).

Almost surely, 2242945603264 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 242945603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311714351424).

242945603264 is an abundant number, since it is smaller than the sum of its proper divisors (380483099584).

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

242945603264 is a wasteful number, since it uses less digits than its factorization.

242945603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192303 (or 192286 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 242945603264 in words is "two hundred forty-two billion, nine hundred forty-five million, six hundred three thousand, two hundred sixty-four".