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40736517732 = 22342910494133
BaseRepresentation
bin100101111100000101…
…011110111001100100
310220010222221111220000
4211330011132321210
51131412022031412
630414124541300
72641326454551
oct457405367144
9126128844800
1040736517732
111630477a789
127a8a6b1830
133ac2839481
141d8632da28
1510d64be4dc
hex97c15ee64

40736517732 has 120 divisors (see below), whose sum is σ = 110297187000. Its totient is φ = 13094936064.

The previous prime is 40736517677. The next prime is 40736517737. The reversal of 40736517732 is 23771563704.

It can be written as a sum of positive squares in 4 ways, for example, as 19646507556 + 21090010176 = 140166^2 + 145224^2 .

It is not an unprimeable number, because it can be changed into a prime (40736517737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9854338 + ... + 9858470.

It is an arithmetic number, because the mean of its divisors is an integer number (919143225).

Almost surely, 240736517732 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 40736517732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55148593500).

40736517732 is an abundant number, since it is smaller than the sum of its proper divisors (69560669268).

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

40736517732 is a wasteful number, since it uses less digits than its factorization.

40736517732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 40736517732 in words is "forty billion, seven hundred thirty-six million, five hundred seventeen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1049 1566 2098 2349 3132 3147 4133 4196 4698 6294 8266 9396 9441 12399 12588 16532 18882 24798 28323 30421 37197 37764 49596 56646 60842 74394 84969 91263 111591 113292 119857 121684 148788 169938 182526 223182 239714 273789 334773 339876 359571 365052 446364 479428 547578 669546 719142 821367 1078713 1095156 1339092 1438284 1642734 2157426 2464101 3236139 3285468 4314852 4335517 4928202 6472278 8671034 9708417 9856404 12944556 13006551 17342068 19416834 26013102 38833668 39019653 52026204 78039306 117058959 125729993 156078612 234117918 251459986 351176877 377189979 468235836 502919972 702353754 754379958 1131569937 1404707508 1508759916 2263139874 3394709811 4526279748 6789419622 10184129433 13578839244 20368258866 40736517732