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242690896104 = 23331437585987
BaseRepresentation
bin1110001000000110000…
…0010011000011101000
3212012102112201220111120
43202001200103003220
512434012332133404
6303253552055240
723351051402646
oct3420140230350
9765375656446
10242690896104
1193a19758318
123b050834520
1319b68a1b447
14ba63bd2196
1564a62e39d9
hex38818130e8

242690896104 has 64 divisors (see below), whose sum is σ = 640864266240. Its totient is φ = 76466738880.

The previous prime is 242690896087. The next prime is 242690896117. The reversal of 242690896104 is 401698096242.

242690896104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3761002 + ... + 3824985.

It is an arithmetic number, because the mean of its divisors is an integer number (10013504160).

Almost surely, 2242690896104 is an apocalyptic number.

242690896104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242690896104 is an abundant number, since it is smaller than the sum of its proper divisors (398173370136).

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

242690896104 is a wasteful number, since it uses less digits than its factorization.

242690896104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586070 (or 7586066 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 242690896104 in words is "two hundred forty-two billion, six hundred ninety million, eight hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 248 258 344 372 516 744 1032 1333 2666 3999 5332 7998 10664 15996 31992 7585987 15171974 22757961 30343948 45515922 60687896 91031844 182063688 235165597 326197441 470331194 652394882 705496791 940662388 978592323 1304789764 1410993582 1881324776 1957184646 2609579528 2821987164 3914369292 5643974328 7828738584 10112120671 20224241342 30336362013 40448482684 60672724026 80896965368 121345448052 242690896104