Search a number
-
+
2801350453464 = 2332172288685011
BaseRepresentation
bin101000110000111101011…
…111111010100011011000
3100220210202221002201211200
4220300331133322203120
5331344131204002324
65542531142154200
7406251034654143
oct50607537724330
910823687081750
102801350453464
11990056333222
12392b06722960
13174221232624
149982c30b05a
154cd09b28ec9
hex28c3d7fa8d8

2801350453464 has 48 divisors (see below), whose sum is σ = 8033284392120. Its totient is φ = 878855043840.

The previous prime is 2801350453459. The next prime is 2801350453501. The reversal of 2801350453464 is 4643540531082.

2801350453464 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 3 + 50 + 4 + 534 + 64 = 666.

It is a super-3 number, since 3×28013504534643 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1144341282 + ... + 1144343729.

Almost surely, 22801350453464 is an apocalyptic number.

2801350453464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2801350453464 is an abundant number, since it is smaller than the sum of its proper divisors (5231933938656).

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

2801350453464 is a wasteful number, since it uses less digits than its factorization.

2801350453464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288685040 (or 2288685033 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2801350453464 in words is "two trillion, eight hundred one billion, three hundred fifty million, four hundred fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2288685011 4577370022 6866055033 9154740044 13732110066 18309480088 20598165099 27464220132 38907645187 41196330198 54928440264 77815290374 82392660396 116722935561 155630580748 164785320792 233445871122 311261161496 350168806683 466891742244 700337613366 933783484488 1400675226732 2801350453464