Search a number
-
+
452405040136464 = 24331307279894739
BaseRepresentation
bin110011011011101011100000…
…1101101100100000100010000
32012022211111111002202001200110
41212313113001231210010100
5433244201010233331324
64242104001205121320
7164202120431254122
oct14667270155440420
92168744432661613
10452405040136464
11121171999a88aa8
12428a71646b9240
13165587c60b599c
147da0741013212
15374815ed98329
hex19b75c1b64110

452405040136464 has 80 divisors (see below), whose sum is σ = 1206452824616960. Its totient is φ = 145932345498240.

The previous prime is 452405040136459. The next prime is 452405040136487. The reversal of 452405040136464 is 464631040504254.

It is a super-3 number, since 3×4524050401364643 (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40774407 + ... + 50669145.

It is an arithmetic number, because the mean of its divisors is an integer number (15080660307712).

Almost surely, 2452405040136464 is an apocalyptic number.

It is an amenable number.

452405040136464 is an abundant number, since it is smaller than the sum of its proper divisors (754047784480496).

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

452405040136464 is a wasteful number, since it uses less digits than its factorization.

452405040136464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9925508 (or 9925502 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 452405040136464 in words is "four hundred fifty-two trillion, four hundred five billion, forty million, one hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 30727 61454 92181 122908 184362 245816 368724 491632 737448 952537 1474896 1905074 2857611 3810148 5715222 7620296 9894739 11430444 15240592 19789478 22860888 29684217 39578956 45721776 59368434 79157912 118736868 158315824 237473736 306736909 474947472 613473818 920210727 1226947636 1840421454 2453895272 3680842908 4907790544 7361685816 14723371632 304035645253 608071290506 912106935759 1216142581012 1824213871518 2432285162024 3648427743036 4864570324048 7296855486072 9425105002843 14593710972144 18850210005686 28275315008529 37700420011372 56550630017058 75400840022744 113101260034116 150801680045488 226202520068232 452405040136464