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242888886864 = 2432131011976521
BaseRepresentation
bin1110001000110101001…
…1100100101001010000
3212012221100021212202200
43202031103210221100
512434414023334424
6303325343443200
723356004321331
oct3421523445120
9765840255680
10242888886864
1194010498748
123b0a6bb6500
1319b9aa51040
14ba82210288
1564b88a28c9
hex388d4e4a50

242888886864 has 240 divisors, whose sum is σ = 743154716304. Its totient is φ = 73608192000.

The previous prime is 242888886797. The next prime is 242888886881. The reversal of 242888886864 is 468688888242.

It is a happy number.

242888886864 is a `hidden beast` number, since 2 + 428 + 8 + 8 + 88 + 68 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 94888641600 + 148000245264 = 308040^2 + 384708^2 .

It is a super-2 number, since 2×2428888868642 (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 242888886792 and 242888886801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37243924 + ... + 37250444.

Almost surely, 2242888886864 is an apocalyptic number.

242888886864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242888886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371577358152).

242888886864 is an abundant number, since it is smaller than the sum of its proper divisors (500265829440).

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

242888886864 is a wasteful number, since it uses less digits than its factorization.

242888886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 6837 counting only the distinct ones).

The product of its digits is 603979776, while the sum is 72.

The spelling of 242888886864 in words is "two hundred forty-two billion, eight hundred eighty-eight million, eight hundred eighty-six thousand, eight hundred sixty-four".