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72702050064 = 24373754710691
BaseRepresentation
bin100001110110101100…
…0010011111100010000
320221122201201210201220
41003231120103330100
52142343211100224
653222053125040
75152424141430
oct1035530237420
9227581653656
1072702050064
11289184592a6
121210b929780
136b1819b247
1437398202c0
151d5794d279
hex10ed613f10

72702050064 has 160 divisors (see below), whose sum is σ = 220869006336. Its totient is φ = 20171773440.

The previous prime is 72702050059. The next prime is 72702050081. The reversal of 72702050064 is 46005020727.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6794959 + ... + 6805649.

Almost surely, 272702050064 is an apocalyptic number.

72702050064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72702050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110434503168).

72702050064 is an abundant number, since it is smaller than the sum of its proper divisors (148166956272).

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

72702050064 is a wasteful number, since it uses less digits than its factorization.

72702050064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 72702050064 in words is "seventy-two billion, seven hundred two million, fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 547 592 777 888 1036 1094 1554 1641 1776 2072 2188 3108 3282 3829 4144 4376 6216 6564 7658 8752 10691 11487 12432 13128 15316 20239 21382 22974 26256 30632 32073 40478 42764 45948 60717 61264 64146 74837 80956 85528 91896 121434 128292 141673 149674 161912 171056 183792 224511 242868 256584 283346 299348 323824 395567 425019 449022 485736 513168 566692 598696 791134 850038 898044 971472 1133384 1186701 1197392 1582268 1700076 1796088 2266768 2373402 2768969 3164536 3400152 3592176 4746804 5537938 5847977 6329072 6800304 8306907 9493608 11075876 11695954 16613814 17543931 18987216 22151752 23391908 33227628 35087862 40935839 44303504 46783816 66455256 70175724 81871678 93567632 122807517 132910512 140351448 163743356 216375149 245615034 280702896 327486712 432750298 491230068 649125447 654973424 865500596 982460136 1298250894 1514626043 1731001192 1964920272 2596501788 3029252086 3462002384 4543878129 5193003576 6058504172 9087756258 10386007152 12117008344 18175512516 24234016688 36351025032 72702050064