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400330530216 = 233259101933067
BaseRepresentation
bin1011101001101011000…
…11110001110110101000
31102021022201112001012200
411310311203301312220
523024334103431331
6503524224340200
740631364234651
oct5646543616650
91367281461180
10400330530216
11144863169671
1265705a74660
132b99bc68556
141553a042528
15a6309385e6
hex5d358f1da8

400330530216 has 96 divisors (see below), whose sum is σ = 1113523351200. Its totient is φ = 129882787200.

The previous prime is 400330530209. The next prime is 400330530251. The reversal of 400330530216 is 612035033004.

It is a happy number.

400330530216 is a `hidden beast` number, since 40 + 0 + 3 + 305 + 302 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 400330530216.

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, 37486 + ... + 895581.

It is an arithmetic number, because the mean of its divisors is an integer number (11599201575).

Almost surely, 2400330530216 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 400330530216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556761675600).

400330530216 is an abundant number, since it is smaller than the sum of its proper divisors (713192820984).

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

400330530216 is a wasteful number, since it uses less digits than its factorization.

400330530216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933239 (or 933232 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 400330530216 in words is "four hundred billion, three hundred thirty million, five hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 101 118 177 202 236 303 354 404 472 531 606 708 808 909 1062 1212 1416 1818 2124 2424 3636 4248 5959 7272 11918 17877 23836 35754 47672 53631 71508 107262 143016 214524 429048 933067 1866134 2799201 3732268 5598402 7464536 8397603 11196804 16795206 22393608 33590412 55050953 67180824 94239767 110101906 165152859 188479534 220203812 282719301 330305718 376959068 440407624 495458577 565438602 660611436 753918136 848157903 990917154 1130877204 1321222872 1696315806 1981834308 2261754408 3392631612 3963668616 5560146253 6785263224 11120292506 16680438759 22240585012 33360877518 44481170024 50041316277 66721755036 100082632554 133443510072 200165265108 400330530216