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73013112816 = 2437787276113
BaseRepresentation
bin100001111111111101…
…0111010111111110000
320222110102001102121120
41003333322322333300
52144012324102231
653313004222240
75163222135060
oct1037772727760
9228412042546
1073013112816
1128a67aa9356
1212197b3a980
136b67770547
143768c733a0
151d74de4d96
hex10ffebaff0

73013112816 has 80 divisors (see below), whose sum is σ = 215837209344. Its totient is φ = 20834307072.

The previous prime is 73013112811. The next prime is 73013112877. The reversal of 73013112816 is 61821131037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73013112811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126376 + ... + 402488.

Almost surely, 273013112816 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 73013112816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107918604672).

73013112816 is an abundant number, since it is smaller than the sum of its proper divisors (142824096528).

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

73013112816 is a wasteful number, since it uses less digits than its factorization.

73013112816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276918 (or 276912 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 73013112816 in words is "seventy-three billion, thirteen million, one hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 787 1574 2361 3148 4722 5509 6296 9444 11018 12592 16527 18888 22036 33054 37776 44072 66108 88144 132216 264432 276113 552226 828339 1104452 1656678 1932791 2208904 3313356 3865582 4417808 5798373 6626712 7731164 11596746 13253424 15462328 23193492 30924656 46386984 92773968 217300931 434601862 651902793 869203724 1303805586 1521106517 1738407448 2607611172 3042213034 3476814896 4563319551 5215222344 6084426068 9126639102 10430444688 12168852136 18253278204 24337704272 36506556408 73013112816