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40746064704 = 2633137185021
BaseRepresentation
bin100101111100101001…
…111001101101000000
310220011122220112212120
4211330221321231000
51131421443032304
630415105324240
72641503556362
oct457451715500
9126148815776
1040746064704
111630a100544
127a91936680
133ac47cca77
141d876d6d32
1510d72580d9
hex97ca79b40

40746064704 has 112 divisors (see below), whose sum is σ = 114293270016. Its totient is φ = 12788582400.

The previous prime is 40746064693. The next prime is 40746064721.

40746064704 is nontrivially palindromic in base 10.

40746064704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127714 + ... + 312734.

Almost surely, 240746064704 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 40746064704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57146635008).

40746064704 is an abundant number, since it is smaller than the sum of its proper divisors (73547205312).

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

40746064704 is a wasteful number, since it uses less digits than its factorization.

40746064704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185104 (or 185094 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 40746064704 in words is "forty billion, seven hundred forty-six million, sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 148 186 192 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 4588 5952 6882 7104 9176 13764 18352 27528 36704 55056 73408 110112 185021 220224 370042 555063 740084 1110126 1480168 2220252 2960336 4440504 5735651 5920672 6845777 8881008 11471302 11841344 13691554 17206953 17762016 20537331 22942604 27383108 34413906 35524032 41074662 45885208 54766216 68827812 82149324 91770416 109532432 137655624 164298648 183540832 212219087 219064864 275311248 328597296 367081664 424438174 438129728 550622496 636657261 657194592 848876348 1101244992 1273314522 1314389184 1697752696 2546629044 3395505392 5093258088 6791010784 10186516176 13582021568 20373032352 40746064704