Search a number
-
+
451413653022 = 237457225829
BaseRepresentation
bin1101001000110100101…
…10011011011000011110
31121011011210102120000000
412210122112123120132
524343443343344042
6543213201115130
744420310512103
oct6443226333036
91534153376000
10451413653022
11164497269932
12735a1628aa6
133375022a037
1417bc455aaaa
15bb2042d74c
hex691a59b61e

451413653022 has 64 divisors (see below), whose sum is σ = 1017752577600. Its totient is φ = 150141294144.

The previous prime is 451413653017. The next prime is 451413653039. The reversal of 451413653022 is 220356314154.

451413653022 is a `hidden beast` number, since 4 + 51 + 41 + 36 + 530 + 2 + 2 = 666.

It is a super-2 number, since 2×4514136530222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886004 + ... + 2111832.

It is an arithmetic number, because the mean of its divisors is an integer number (15902384025).

Almost surely, 2451413653022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451413653022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508876288800).

451413653022 is an abundant number, since it is smaller than the sum of its proper divisors (566338924578).

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

451413653022 is an equidigital number, since it uses as much as digits as its factorization.

451413653022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226309 (or 226291 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 451413653022 its reverse (220356314154), we get a palindrome (671769967176).

The spelling of 451413653022 in words is "four hundred fifty-one billion, four hundred thirteen million, six hundred fifty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 457 486 729 914 1371 1458 2187 2742 4113 4374 8226 12339 24678 37017 74034 111051 222102 225829 333153 451658 666306 677487 999459 1354974 1998918 2032461 4064922 6097383 12194766 18292149 36584298 54876447 103203853 109752894 164629341 206407706 309611559 329258682 493888023 619223118 928834677 987776046 1857669354 2786504031 5573008062 8359512093 16719024186 25078536279 50157072558 75235608837 150471217674 225706826511 451413653022