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42663355336624 = 2411304277966787
BaseRepresentation
bin10011011001101010101100…
…01000111100011110110000
312121001120120120212111001211
421230311112020330132300
521042444022431232444
6230423135212205504
711662216500632041
oct1154652610743660
9177046516774054
1042663355336624
1112659477946590
12495053b469894
131aa61a2401ca9
14a76cbb5648c8
154deb89b4dc34
hex26cd5623c7b0

42663355336624 has 40 divisors (see below), whose sum is σ = 90177794198208. Its totient is φ = 19391794466880.

The previous prime is 42663355336619. The next prime is 42663355336661.

42663355336624 is nontrivially palindromic in base 10.

42663355336624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1371759 + ... + 9338545.

Almost surely, 242663355336624 is an apocalyptic number.

42663355336624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42663355336624 is an abundant number, since it is smaller than the sum of its proper divisors (47514438861584).

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

42663355336624 is a wasteful number, since it uses less digits than its factorization.

42663355336624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997233 (or 7997227 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 58.

The spelling of 42663355336624 in words is "forty-two trillion, six hundred sixty-three billion, three hundred fifty-five million, three hundred thirty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 30427 60854 121708 243416 334697 486832 669394 1338788 2677576 5355152 7966787 15933574 31867148 63734296 87634657 127468592 175269314 350538628 701077256 1402154512 242405428049 484810856098 969621712196 1939243424392 2666459708539 3878486848784 5332919417078 10665838834156 21331677668312 42663355336624