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73364450064 = 2436774330703
BaseRepresentation
bin100010001010011011…
…1001010101100010000
321000100220011012201020
41010110313022230100
52200222244400224
653411514435440
75205016351653
oct1042467125420
9230326135636
1073364450064
1129128357214
1212275732b80
136bc24a42c9
14379d7ab89a
151d95b94c79
hex1114dcab10

73364450064 has 80 divisors (see below), whose sum is σ = 192618719232. Its totient is φ = 24056613504.

The previous prime is 73364450063. The next prime is 73364450069. The reversal of 73364450064 is 46005446337.

It is a junction number, because it is equal to n+sod(n) for n = 73364449998 and 73364450025.

It is not an unprimeable number, because it can be changed into a prime (73364450063) 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, 2374137 + ... + 2404839.

Almost surely, 273364450064 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 73364450064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96309359616).

73364450064 is an abundant number, since it is smaller than the sum of its proper divisors (119254269168).

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

73364450064 is a wasteful number, since it uses less digits than its factorization.

73364450064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31524 (or 31518 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 73364450064 in words is "seventy-three billion, three hundred sixty-four million, four hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 743 804 1072 1486 1608 2229 2972 3216 4458 5944 8916 11888 17832 30703 35664 49781 61406 92109 99562 122812 149343 184218 199124 245624 298686 368436 398248 491248 597372 736872 796496 1194744 1473744 2057101 2389488 4114202 6171303 8228404 12342606 16456808 22812329 24685212 32913616 45624658 49370424 68436987 91249316 98740848 136873974 182498632 273747948 364997264 547495896 1094991792 1528426043 3056852086 4585278129 6113704172 9170556258 12227408344 18341112516 24454816688 36682225032 73364450064