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40558219668 = 22334759135427
BaseRepresentation
bin100101110001011101…
…010101000110010100
310212200120110000221000
4211301131111012110
51131030401012133
630344315223300
72634033115251
oct456135250624
9125616400830
1040558219668
111622306a80a
127a3aa47b30
133a94910165
141d6a79a428
1510c5a00413
hex971755194

40558219668 has 96 divisors (see below), whose sum is σ = 109209139200. Its totient is φ = 13007396448.

The previous prime is 40558219657. The next prime is 40558219687. The reversal of 40558219668 is 86691285504.

40558219668 is a `hidden beast` number, since 4 + 0 + 558 + 21 + 9 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 231771 + ... + 367197.

It is an arithmetic number, because the mean of its divisors is an integer number (1137595200).

Almost surely, 240558219668 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 40558219668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604569600).

40558219668 is an abundant number, since it is smaller than the sum of its proper divisors (68650919532).

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

40558219668 is a wasteful number, since it uses less digits than its factorization.

40558219668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135546 (or 135538 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 40558219668 in words is "forty billion, five hundred fifty-eight million, two hundred nineteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 59 94 108 118 141 177 188 236 282 354 423 531 564 708 846 1062 1269 1593 1692 2124 2538 2773 3186 5076 5546 6372 8319 11092 16638 24957 33276 49914 74871 99828 135427 149742 270854 299484 406281 541708 812562 1218843 1625124 2437686 3656529 4875372 6365069 7313058 7990193 12730138 14626116 15980386 19095207 23970579 25460276 31960772 38190414 47941158 57285621 71911737 76380828 95882316 114571242 143823474 171856863 215735211 229142484 287646948 343713726 375539071 431470422 687427452 751078142 862940844 1126617213 1502156284 2253234426 3379851639 4506468852 6759703278 10139554917 13519406556 20279109834 40558219668