Search a number
-
+
34991754864 = 2431183798461
BaseRepresentation
bin100000100101101010…
…111100111001110000
310100022122011022201220
4200211222330321300
51033130342123424
624024110425040
72346062003013
oct404552747160
9110278138656
1034991754864
1113926a2a380
126946802180
1333b85c7ac1
14199d3a137a
15d9bea2579
hex825abce70

34991754864 has 80 divisors (see below), whose sum is σ = 99801362304. Its totient is φ = 10475795200.

The previous prime is 34991754803. The next prime is 34991754893. The reversal of 34991754864 is 46845719943.

It is a junction number, because it is equal to n+sod(n) for n = 34991754798 and 34991754807.

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 15 ways as a sum of consecutive naturals, for example, 355407 + ... + 443054.

Almost surely, 234991754864 is an apocalyptic number.

It is an amenable number.

34991754864 is an abundant number, since it is smaller than the sum of its proper divisors (64809607440).

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

34991754864 is a wasteful number, since it uses less digits than its factorization.

34991754864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798566 (or 798560 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 34991754864 in words is "thirty-four billion, nine hundred ninety-one million, seven hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1992 2739 3652 3984 5478 7304 10956 14608 21912 43824 798461 1596922 2395383 3193844 4790766 6387688 8783071 9581532 12775376 17566142 19163064 26349213 35132284 38326128 52698426 66272263 70264568 105396852 132544526 140529136 198816789 210793704 265089052 397633578 421587408 530178104 728994893 795267156 1060356208 1457989786 1590534312 2186984679 2915979572 3181068624 4373969358 5831959144 8747938716 11663918288 17495877432 34991754864