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73014225104 = 2431587250777
BaseRepresentation
bin100001111111111111…
…1001010100011010000
320222110111010221101102
41003333333022203100
52144013120200404
653313044123532
75163234446642
oct1037777124320
9228414127342
1073014225104
1128a68698aa7
12121983965a8
136b67a6c8c2
143769082892
151d7506471e
hex10fffca8d0

73014225104 has 40 divisors (see below), whose sum is σ = 146277804288. Its totient is φ = 35269136640.

The previous prime is 73014225047. The next prime is 73014225113. The reversal of 73014225104 is 40152241037.

It is a super-3 number, since 3×730142251043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165764 + ... + 416540.

Almost surely, 273014225104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73014225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73138902144).

73014225104 is an abundant number, since it is smaller than the sum of its proper divisors (73263579184).

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

73014225104 is a wasteful number, since it uses less digits than its factorization.

73014225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251403 (or 251397 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 73014225104 in words is "seventy-three billion, fourteen million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 496 587 1174 2348 4696 9392 18197 36394 72788 145576 250777 291152 501554 1003108 2006216 4012432 7774087 15548174 31096348 62192696 124385392 147206099 294412198 588824396 1177648792 2355297584 4563389069 9126778138 18253556276 36507112552 73014225104