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73400670337 = 378922289909
BaseRepresentation
bin100010001011100000…
…1010101100010000001
321000110102022101120211
41010113001111202001
52200311032422322
653415251034121
75205636255301
oct1042701254201
9230412271524
1073400670337
1129146846025
121228589b941
136bc9b46617
1437a4519601
151d98e4bb77
hex1117055881

73400670337 has 8 divisors (see below), whose sum is σ = 76231492200. Its totient is φ = 70614428544.

The previous prime is 73400670281. The next prime is 73400670341. The reversal of 73400670337 is 73307600437.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3082359361 + 70318310976 = 55519^2 + 265176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73400670337 - 219 = 73400146049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73400670337.

It is not an unprimeable number, because it can be changed into a prime (73400670367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11141662 + ... + 11148247.

It is an arithmetic number, because the mean of its divisors is an integer number (9528936525).

Almost surely, 273400670337 is an apocalyptic number.

It is an amenable number.

73400670337 is a deficient number, since it is larger than the sum of its proper divisors (2830821863).

73400670337 is a wasteful number, since it uses less digits than its factorization.

73400670337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290035.

The product of its (nonzero) digits is 222264, while the sum is 40.

The spelling of 73400670337 in words is "seventy-three billion, four hundred million, six hundred seventy thousand, three hundred thirty-seven".

Divisors: 1 37 89 3293 22289909 824726633 1983801901 73400670337