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73406673340074 = 2332815039617617
BaseRepresentation
bin10000101100001101010010…
…101100000100011010101010
3100121220121110021112012212000
4100230031102230010122222
534110143331333340244
6420042321000031430
721314312540163114
oct2054152254043252
9317817407465760
1073406673340074
1121431660435388
128296856462576
1331c62b15a7479
14141ac8ad283b4
15874721924169
hex42c352b046aa

73406673340074 has 64 divisors (see below), whose sum is σ = 164031937332480. Its totient is φ = 24333337889280.

The previous prime is 73406673340073. The next prime is 73406673340159. The reversal of 73406673340074 is 47004337660437.

73406673340074 is a `hidden beast` number, since 7 + 3 + 40 + 66 + 73 + 3 + 400 + 74 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 73406673340074.

It is not an unprimeable number, because it can be changed into a prime (73406673340073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823714 + ... + 12441330.

It is an arithmetic number, because the mean of its divisors is an integer number (2562999020820).

Almost surely, 273406673340074 is an apocalyptic number.

73406673340074 is an abundant number, since it is smaller than the sum of its proper divisors (90625263992406).

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

73406673340074 is a wasteful number, since it uses less digits than its factorization.

73406673340074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9618412 (or 9618406 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 54.

The spelling of 73406673340074 in words is "seventy-three trillion, four hundred six billion, six hundred seventy-three million, three hundred forty thousand, seventy-four".

Divisors: 1 2 3 6 9 18 27 54 281 503 562 843 1006 1509 1686 2529 3018 4527 5058 7587 9054 13581 15174 27162 141343 282686 424029 848058 1272087 2544174 3816261 7632522 9617617 19235234 28852851 57705702 86558553 173117106 259675659 519351318 2702550377 4837661351 5405100754 8107651131 9675322702 14512984053 16215302262 24322953393 29025968106 43538952159 48645906786 72968860179 87077904318 130616856477 145937720358 261233712954 1359382839631 2718765679262 4078148518893 8156297037786 12234445556679 24468891113358 36703336670037 73406673340074