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242633821194 = 23413119359239
BaseRepresentation
bin1110000111111000011…
…0100100110000001010
3212012021120100012110000
43201332012210300022
512433403224234234
6303244152503430
723346456310542
oct3417606446012
9765246305400
10242633821194
119399a515076
123b0356aab76
1319b59c569cb
14ba5a3b6322
1564a12bc899
hex387e1a4c0a

242633821194 has 80 divisors (see below), whose sum is σ = 550677504960. Its totient is φ = 79843345920.

The previous prime is 242633821127. The next prime is 242633821207. The reversal of 242633821194 is 491128336242.

242633821194 is a `hidden beast` number, since 2 + 4 + 2 + 633 + 8 + 2 + 1 + 1 + 9 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 4066227 + ... + 4125465.

It is an arithmetic number, because the mean of its divisors is an integer number (6883468812).

Almost surely, 2242633821194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242633821194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275338752480).

242633821194 is an abundant number, since it is smaller than the sum of its proper divisors (308043683766).

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

242633821194 is a wasteful number, since it uses less digits than its factorization.

242633821194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59577 (or 59568 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 242633821194 in words is "two hundred forty-two billion, six hundred thirty-three million, eight hundred twenty-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 193 262 386 393 579 786 1158 1179 1737 2358 3474 3537 5211 7074 10422 10611 15633 21222 25283 31266 50566 59239 75849 118478 151698 177717 227547 355434 455094 533151 682641 1066302 1365282 1599453 2047923 3198906 4095846 4798359 7760309 9596718 11433127 15520618 22866254 23280927 34299381 46561854 68598762 69842781 102898143 139685562 205796286 209528343 308694429 419056686 617388858 628585029 926083287 1257170058 1497739637 1852166574 2995479274 4493218911 8986437822 13479656733 26959313466 40438970199 80877940398 121316910597 242633821194