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73028732448 = 2537115394253
BaseRepresentation
bin100010000000011011…
…0100000011000100000
320222111111102222201110
41010000312200120200
52144030323414243
653314323103320
75163501661260
oct1040066403040
9228444388643
1073028732448
1128a758a7641
12121a1211b40
136b6aa7bc29
14376ad7b7a0
151d7647ce33
hex1100da0620

73028732448 has 96 divisors (see below), whose sum is σ = 219278537856. Its totient is φ = 20847034368.

The previous prime is 73028732423. The next prime is 73028732459. The reversal of 73028732448 is 84423782037.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 73028732397 and 73028732406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727690 + ... + 821942.

It is an arithmetic number, because the mean of its divisors is an integer number (2284151436).

Almost surely, 273028732448 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 73028732448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109639268928).

73028732448 is an abundant number, since it is smaller than the sum of its proper divisors (146249805408).

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

73028732448 is a wasteful number, since it uses less digits than its factorization.

73028732448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95426 (or 95418 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 73028732448 in words is "seventy-three billion, twenty-eight million, seven hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1153 2306 3459 4612 6918 8071 9224 13836 16142 18448 24213 27672 32284 36896 48426 55344 64568 94253 96852 110688 129136 188506 193704 258272 282759 377012 387408 565518 659771 754024 774816 1131036 1319542 1508048 1979313 2262072 2639084 3016096 3958626 4524144 5278168 7917252 9048288 10556336 15834504 21112672 31669008 63338016 108673709 217347418 326021127 434694836 652042254 760715963 869389672 1304084508 1521431926 1738779344 2282147889 2608169016 3042863852 3477558688 4564295778 5216338032 6085727704 9128591556 10432676064 12171455408 18257183112 24342910816 36514366224 73028732448