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73082930445 = 32572345722073
BaseRepresentation
bin100010000010000010…
…1010000010100001101
320222122021102112101200
41010010011100110031
52144133212233240
653323540500113
75165030442030
oct1040405202415
9228567375350
1073082930445
1128aa3455378
12121b73aa639
136b79077055
143774249017
151d7b0d6930
hex110415050d

73082930445 has 96 divisors (see below), whose sum is σ = 151405742592. Its totient is φ = 31885387776.

The previous prime is 73082930441. The next prime is 73082930563. The reversal of 73082930445 is 54403928037.

It is not a de Polignac number, because 73082930445 - 22 = 73082930441 is a prime.

It is a super-2 number, since 2×730829304452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 73082930445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73082930441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3299929 + ... + 3322001.

It is an arithmetic number, because the mean of its divisors is an integer number (1577143152).

Almost surely, 273082930445 is an apocalyptic number.

It is an amenable number.

73082930445 is an abundant number, since it is smaller than the sum of its proper divisors (78322812147).

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

73082930445 is a wasteful number, since it uses less digits than its factorization.

73082930445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22571 (or 22568 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 73082930445 in words is "seventy-three billion, eighty-two million, nine hundred thirty thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 457 483 805 1035 1371 1449 2285 2415 3199 4113 6855 7245 9597 10511 15995 20565 22073 28791 31533 47985 52555 66219 73577 94599 110365 143955 154511 157665 198657 220731 331095 367885 463533 472995 507679 662193 772555 993285 1103655 1390599 1523037 2317665 2538395 3310965 3553753 4569111 6952995 7615185 10087361 10661259 17768765 22845555 30262083 31983777 50436805 53306295 70611527 90786249 151310415 159918885 211834581 232009303 353057635 453931245 635503743 696027909 1059172905 1160046515 1624065121 2088083727 3177518715 3480139545 4872195363 8120325605 10440418635 14616586089 24360976815 73082930445