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73269916392 = 23343701101281
BaseRepresentation
bin100010000111100111…
…0100011001011101000
321000010022021101220010
41010033032203023220
52200024044311032
653354300331520
75202461004411
oct1041716431350
9230108241803
1073269916392
1129089a59712
1212249b43ba0
136ba8a2591a
143791000808
151d8c71eccc
hex110f3a32e8

73269916392 has 64 divisors (see below), whose sum is σ = 187703904960. Its totient is φ = 23821056000.

The previous prime is 73269916373. The next prime is 73269916393. The reversal of 73269916392 is 29361996237.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (73269916393) 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 15 ways as a sum of consecutive naturals, for example, 672792 + ... + 774072.

It is an arithmetic number, because the mean of its divisors is an integer number (2932873515).

Almost surely, 273269916392 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 73269916392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93851952480).

73269916392 is an abundant number, since it is smaller than the sum of its proper divisors (114433988568).

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

73269916392 is a wasteful number, since it uses less digits than its factorization.

73269916392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102034 (or 102030 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 57.

The spelling of 73269916392 in words is "seventy-three billion, two hundred sixty-nine million, nine hundred sixteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 701 1032 1402 2103 2804 4206 5608 8412 16824 30143 60286 90429 101281 120572 180858 202562 241144 303843 361716 405124 607686 723432 810248 1215372 2430744 4355083 8710166 13065249 17420332 26130498 34840664 52260996 70997981 104521992 141995962 212993943 283991924 425987886 567983848 851975772 1703951544 3052913183 6105826366 9158739549 12211652732 18317479098 24423305464 36634958196 73269916392