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242186978264 = 23711743529153
BaseRepresentation
bin1110000110001101111…
…0000000001111011000
3212011010102112020011212
43201203132000033120
512431444331301024
6303131551242252
723332422230510
oct3414336001730
9764112466155
10242186978264
11937902653a0
123ab2bb19388
1319ab84c3cca
14ba16cda840
156476e54a0e
hex38637803d8

242186978264 has 64 divisors (see below), whose sum is σ = 566914429440. Its totient is φ = 94231388160.

The previous prime is 242186978227. The next prime is 242186978323. The reversal of 242186978264 is 462879681242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193112 + ... + 722264.

It is an arithmetic number, because the mean of its divisors is an integer number (8858037960).

Almost surely, 2242186978264 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 242186978264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283457214720).

242186978264 is an abundant number, since it is smaller than the sum of its proper divisors (324727451176).

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

242186978264 is a wasteful number, since it uses less digits than its factorization.

242186978264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529920 (or 529916 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 59.

The spelling of 242186978264 in words is "two hundred forty-two billion, one hundred eighty-six million, nine hundred seventy-eight thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 743 1486 2972 5201 5944 8173 10402 16346 20804 32692 41608 57211 65384 114422 228844 457688 529153 1058306 2116612 3704071 4233224 5820683 7408142 11641366 14816284 23282732 29632568 40744781 46565464 81489562 162979124 325958248 393160679 786321358 1572642716 2752124753 3145285432 4324767469 5504249506 8649534938 11008499012 17299069876 22016998024 30273372283 34598139752 60546744566 121093489132 242186978264