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2465340435642 = 2371713723251611
BaseRepresentation
bin100011111000000001101…
…111011010110010111010
322201200110210222021011210
4203320001233122302322
5310343004122420032
65124321201303550
7343054301642010
oct43700157326272
98650423867153
102465340435642
118705aa44a617
12339971634bb6
1314b632b76186
14874748a48b0
15441e0dca2cc
hex23e01bdacba

2465340435642 has 64 divisors (see below), whose sum is σ = 5966996696064. Its totient is φ = 662897744640.

The previous prime is 2465340435581. The next prime is 2465340435647.

2465340435642 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24653404356422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2465340435591 and 2465340435600.

It is not an unprimeable number, because it can be changed into a prime (2465340435647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9672417 + ... + 9924027.

It is an arithmetic number, because the mean of its divisors is an integer number (93234323376).

Almost surely, 22465340435642 is an apocalyptic number.

2465340435642 is an abundant number, since it is smaller than the sum of its proper divisors (3501656260422).

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

2465340435642 is a wasteful number, since it uses less digits than its factorization.

2465340435642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265363.

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 2465340435642 in words is "two trillion, four hundred sixty-five billion, three hundred forty million, four hundred thirty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 13723 27446 41169 82338 96061 192122 233291 251611 288183 466582 503222 576366 699873 754833 1399746 1509666 1633037 1761277 3266074 3522554 4277387 4899111 5283831 8554774 9798222 10567662 12832161 25664322 29941709 59883418 89825127 179650254 3452857753 6905715506 10358573259 20717146518 24170004271 48340008542 58698581801 72510012813 117397163602 145020025626 176095745403 352191490806 410890072607 821780145214 1232670217821 2465340435642