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73241415680 = 212517919979
BaseRepresentation
bin100010000110110000…
…1110101000000000000
321000001022122102021012
41010031201311000000
52144444300300210
653351401420052
75201663522066
oct1041541650000
9230038572235
1073241415680
1129074962704
121224049a628
136ba2b571b4
14378b302036
151d89e90305
hex110d875000

73241415680 has 104 divisors (see below), whose sum is σ = 176748674400. Its totient is φ = 29131440128.

The previous prime is 73241415679. The next prime is 73241415683. The reversal of 73241415680 is 8651414237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73241415683) 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 7 ways as a sum of consecutive naturals, for example, 3655931 + ... + 3675909.

Almost surely, 273241415680 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 73241415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88374337200).

73241415680 is an abundant number, since it is smaller than the sum of its proper divisors (103507258720).

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

73241415680 is a wasteful number, since it uses less digits than its factorization.

73241415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 73241415680 in words is "seventy-three billion, two hundred forty-one million, four hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 256 320 358 512 640 716 895 1024 1280 1432 1790 2048 2560 2864 3580 4096 5120 5728 7160 10240 11456 14320 19979 20480 22912 28640 39958 45824 57280 79916 91648 99895 114560 159832 183296 199790 229120 319664 366592 399580 458240 639328 733184 799160 916480 1278656 1598320 1832960 2557312 3196640 3576241 3665920 5114624 6393280 7152482 10229248 12786560 14304964 17881205 20458496 25573120 28609928 35762410 40916992 51146240 57219856 71524820 81833984 102292480 114439712 143049640 204584960 228879424 286099280 409169920 457758848 572198560 915517696 1144397120 1831035392 2288794240 3662070784 4577588480 7324141568 9155176960 14648283136 18310353920 36620707840 73241415680