Search a number
-
+
153242014846455 = 32519691259378331
BaseRepresentation
bin100010110101111101101111…
…110111000000110111110111
3202002120210102111101002121100
4202311331233313000313313
5130041204121300041310
61301530224301421143
744164240661233263
oct4265755767006767
9662523374332540
10153242014846455
1144911634408137
121522b3b486a7b3
136767877012372
1429bad4b4030a3
1512ab29a925ec0
hex8b5f6fdc0df7

153242014846455 has 48 divisors (see below), whose sum is σ = 280004096960640. Its totient is φ = 77315492606400.

The previous prime is 153242014846439. The next prime is 153242014846477. The reversal of 153242014846455 is 554648410242351.

153242014846455 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 4 + 2 + 0 + 148 + 46 + 455 = 666.

It is not a de Polignac number, because 153242014846455 - 24 = 153242014846439 is a prime.

It is a super-2 number, since 2×1532420148464552 (a number of 29 digits) contains 22 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 (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129098361 + ... + 130279970.

It is an arithmetic number, because the mean of its divisors is an integer number (5833418686680).

Almost surely, 2153242014846455 is an apocalyptic number.

153242014846455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153242014846455 is a deficient number, since it is larger than the sum of its proper divisors (126762082114185).

153242014846455 is a wasteful number, since it uses less digits than its factorization.

153242014846455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259379052 (or 259379049 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 153242014846455 in words is "one hundred fifty-three trillion, two hundred forty-two billion, fourteen million, eight hundred forty-six thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 691 855 2073 3455 6219 10365 13129 31095 39387 65645 118161 196935 590805 259378331 778134993 1296891655 2334404979 3890674965 4928188289 11672024895 14784564867 24640941445 44353694601 73922824335 179230426721 221768473005 537691280163 896152133605 1613073840489 2688456400815 3405378107699 8065369202445 10216134323097 17026890538495 30648402969291 51080671615485 153242014846455