Search a number
-
+
56434240996 = 22722323115417
BaseRepresentation
bin110100100011101111…
…100010110111100100
312101122222222110221221
4310203233202313210
51411034131202441
641531525350124
74035331063600
oct644357426744
9171588873857
1056434240996
1121a2a7265a1
12ab2b868344
135424aa8513
142a35098500
1517046a68d1
hexd23be2de4

56434240996 has 72 divisors (see below), whose sum is σ = 119952959616. Its totient is φ = 23120254080.

The previous prime is 56434240979. The next prime is 56434241021. The reversal of 56434240996 is 69904243465.

It is a happy 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, 10415280 + ... + 10420696.

It is an arithmetic number, because the mean of its divisors is an integer number (1666013328).

Almost surely, 256434240996 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 56434240996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976479808).

56434240996 is an abundant number, since it is smaller than the sum of its proper divisors (63518718620).

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

56434240996 is a wasteful number, since it uses less digits than its factorization.

56434240996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 56434240996 in words is "fifty-six billion, four hundred thirty-four million, two hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 2311 4508 4622 5417 9244 10834 16177 21668 32354 37919 53153 64708 75838 106306 113239 124591 151676 212612 226478 249182 265433 372071 452956 498364 530866 744142 872137 1061732 1488284 1744274 2604497 3488548 5208994 6104959 10417988 12209918 12518687 24419836 25037374 50074748 87630809 175261618 287929801 350523236 575859602 613415663 1151719204 1226831326 2015508607 2453662652 4031017214 8062034428 14108560249 28217120498 56434240996