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73460315538 = 232311051125261
BaseRepresentation
bin100010001101010010…
…0110111010110010010
321000121120112200102100
41010122210313112102
52200421320044123
653425221301230
75210262244101
oct1043244672622
9230546480370
1073460315538
1129177484385
12122a1864816
136c092cac3c
1437ac404038
151d9e2ce643
hex111a937592

73460315538 has 48 divisors (see below), whose sum is σ = 164455978752. Its totient is φ = 23674140000.

The previous prime is 73460315531. The next prime is 73460315573. The reversal of 73460315538 is 83551306437.

73460315538 is a `hidden beast` number, since 7 + 3 + 4 + 60 + 31 + 553 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73460315493 and 73460315502.

It is not an unprimeable number, because it can be changed into a prime (73460315531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523828 + ... + 649088.

It is an arithmetic number, because the mean of its divisors is an integer number (3426166224).

Almost surely, 273460315538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73460315538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82227989376).

73460315538 is an abundant number, since it is smaller than the sum of its proper divisors (90995663214).

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

73460315538 is a wasteful number, since it uses less digits than its factorization.

73460315538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126351 (or 126348 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 73460315538 in words is "seventy-three billion, four hundred sixty million, three hundred fifteen thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1051 2102 3153 6306 9459 18918 32581 65162 97743 125261 195486 250522 293229 375783 586458 751566 1127349 2254698 3883091 7766182 11649273 23298546 34947819 69895638 131649311 263298622 394947933 789895866 1184843799 2369687598 4081128641 8162257282 12243385923 24486771846 36730157769 73460315538