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40524552216 = 23323717218839
BaseRepresentation
bin100101101111011100…
…111001100000011000
310212121020002112212100
4211233130321200120
51130443241132331
630341113443400
72633144003361
oct455734714030
9125536075770
1040524552216
1116206064975
127a2b710560
133a8a952aa5
141d66114b68
1510c2a9eae6
hex96f739818

40524552216 has 96 divisors (see below), whose sum is σ = 112798576800. Its totient is φ = 13133975040.

The previous prime is 40524552197. The next prime is 40524552227. The reversal of 40524552216 is 61225542504.

40524552216 is a `hidden beast` number, since 40 + 52 + 4 + 552 + 2 + 16 = 666.

40524552216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4580325 + ... + 4589163.

It is an arithmetic number, because the mean of its divisors is an integer number (1174985175).

Almost surely, 240524552216 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 40524552216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56399288400).

40524552216 is an abundant number, since it is smaller than the sum of its proper divisors (72274024584).

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

40524552216 is a wasteful number, since it uses less digits than its factorization.

40524552216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 40524552216 in words is "forty billion, five hundred twenty-four million, five hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1721 2664 3442 5163 6884 8839 10326 13768 15489 17678 20652 26517 30978 35356 41304 53034 61956 63677 70712 79551 106068 123912 127354 159102 191031 212136 254708 318204 327043 382062 509416 573093 636408 654086 764124 981129 1146186 1308172 1528248 1962258 2292372 2616344 2943387 3924516 4584744 5886774 7849032 11773548 15211919 23547096 30423838 45635757 60847676 91271514 121695352 136907271 182543028 273814542 365086056 547629084 562841003 1095258168 1125682006 1688523009 2251364012 3377046018 4502728024 5065569027 6754092036 10131138054 13508184072 20262276108 40524552216