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42418697764 = 22292532672
BaseRepresentation
bin100111100000010110…
…011111011000100100
311001111020021010002011
4213200112133120210
51143333141312024
631253055524004
73031113660532
oct474026373044
9131436233064
1042418697764
1116a98281513
128279b29604
1340001b6981
1420a58d7152
151184003094
hex9e059f624

42418697764 has 81 divisors (see below), whose sum is σ = 79545675027. Its totient is φ = 19791739968.

The previous prime is 42418697729. The next prime is 42418697771. The reversal of 42418697764 is 46779681424.

It is a happy number.

The square root of 42418697764 is 205958.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2661528100 + 39757169664 = 51590^2 + 199392^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 42418697699 and 42418697708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 633114859 + ... + 633114925.

Almost surely, 242418697764 is an apocalyptic number.

42418697764 is the 205958-th square number.

It is an amenable number.

42418697764 is a deficient number, since it is larger than the sum of its proper divisors (37126977263).

42418697764 is an equidigital number, since it uses as much as digits as its factorization.

42418697764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The spelling of 42418697764 in words is "forty-two billion, four hundred eighteen million, six hundred ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 29 53 58 67 106 116 134 212 268 841 1537 1682 1943 2809 3074 3364 3551 3886 4489 5618 6148 7102 7772 8978 11236 14204 17956 44573 56347 81461 89146 102979 112694 130181 162922 178292 188203 205958 225388 237917 260362 325844 376406 411916 475834 520724 752812 951668 2362369 2986391 3775249 4724738 5457887 5972782 6899593 7550498 9449476 10915774 11945564 12609601 13799186 15100996 21831548 25219202 27598372 50438404 158278723 200088197 316557446 365678429 400176394 633114892 731356858 800352788 1462713716 10604674441 21209348882 42418697764