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75468211392 = 2637311811353
BaseRepresentation
bin100011001001001000…
…0011000010011000000
321012210111202100201110
41012102100120103000
52214024330231032
654400345403320
75311113132630
oct1062220302300
9235714670643
1075468211392
112a007924242
1212762199540
1371692ab1b2
14391cd566c0
151e6a7017cc
hex11924184c0

75468211392 has 112 divisors (see below), whose sum is σ = 235562964992. Its totient is φ = 20866775040.

The previous prime is 75468211339. The next prime is 75468211411. The reversal of 75468211392 is 29311286457.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864013 + ... + 947340.

Almost surely, 275468211392 is an apocalyptic number.

It is an amenable number.

75468211392 is an abundant number, since it is smaller than the sum of its proper divisors (160094753600).

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

75468211392 is a wasteful number, since it uses less digits than its factorization.

75468211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811406 (or 1811396 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 75468211392 in words is "seventy-five billion, four hundred sixty-eight million, two hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5208 5952 6944 10416 13888 20832 41664 1811353 3622706 5434059 7245412 10868118 12679471 14490824 21736236 25358942 28981648 38038413 43472472 50717884 56151943 57963296 76076826 86944944 101435768 112303886 115926592 152153652 168455829 173889888 202871536 224607772 304307304 336911658 347779776 393063601 405743072 449215544 608614608 673823316 786127202 811486144 898431088 1179190803 1217229216 1347646632 1572254404 1796862176 2358381606 2434458432 2695293264 3144508808 3593724352 4716763212 5390586528 6289017616 9433526424 10781173056 12578035232 18867052848 25156070464 37734105696 75468211392