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242206629896 = 237111319298099
BaseRepresentation
bin1110000110010010100…
…0111110000000001000
3212011011210111122011002
43201210220332000020
512432014344124041
6303133532354132
723333051246060
oct3414450760010
9764153448132
10242206629896
11937a0367a10
123ab36615948
1319abc5b49aa
14ba197743a0
156478a3759b
hex3864a3e008

242206629896 has 64 divisors (see below), whose sum is σ = 566628480000. Its totient is φ = 94294359360.

The previous prime is 242206629887. The next prime is 242206629911. The reversal of 242206629896 is 698926602242.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663455 + ... + 961553.

It is an arithmetic number, because the mean of its divisors is an integer number (8853570000).

Almost surely, 2242206629896 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 242206629896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283314240000).

242206629896 is an abundant number, since it is smaller than the sum of its proper divisors (324421850104).

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

242206629896 is a wasteful number, since it uses less digits than its factorization.

242206629896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299442 (or 299438 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 56.

The spelling of 242206629896 in words is "two hundred forty-two billion, two hundred six million, six hundred twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1319 2638 5276 9233 10552 14509 18466 29018 36932 58036 73864 101563 116072 203126 298099 406252 596198 812504 1192396 2086693 2384792 3279089 4173386 6558178 8346772 13116356 16693544 22953623 26232712 45907246 91814492 183628984 393192581 786385162 1572770324 2752348067 3145540648 4325118391 5504696134 8650236782 11009392268 17300473564 22018784536 30275828737 34600947128 60551657474 121103314948 242206629896