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234465137616 = 24331179880283
BaseRepresentation
bin1101101001011100110…
…1100001001111010000
3211102012021112002011210
43122113031201033100
512320141033400431
6255413425340120
722640156533533
oct3322715411720
9742167462153
10234465137616
1190488504206
1239535a97640
13191577a2828
14b4c355ca1a
1561740a1d46
hex36973613d0

234465137616 has 80 divisors (see below), whose sum is σ = 628734044160. Its totient is φ = 75211294080.

The previous prime is 234465137609. The next prime is 234465137651. The reversal of 234465137616 is 616731564432.

234465137616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173790 + ... + 706493.

It is an arithmetic number, because the mean of its divisors is an integer number (7859175552).

Almost surely, 2234465137616 is an apocalyptic number.

It is an amenable number.

234465137616 is an abundant number, since it is smaller than the sum of its proper divisors (394268906544).

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

234465137616 is a wasteful number, since it uses less digits than its factorization.

234465137616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880504 (or 880498 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 234465137616 in words is "two hundred thirty-four billion, four hundred sixty-five million, one hundred thirty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 179 186 248 358 372 496 537 716 744 1074 1432 1488 2148 2864 4296 5549 8592 11098 16647 22196 33294 44392 66588 88784 133176 266352 880283 1760566 2640849 3521132 5281698 7042264 10563396 14084528 21126792 27288773 42253584 54577546 81866319 109155092 157570657 163732638 218310184 315141314 327465276 436620368 472711971 630282628 654930552 945423942 1260565256 1309861104 1890847884 2521130512 3781695768 4884690367 7563391536 9769380734 14654071101 19538761468 29308142202 39077522936 58616284404 78155045872 117232568808 234465137616