Search a number
-
+
36834401016 = 23327459115919
BaseRepresentation
bin100010010011100000…
…000101101011111000
310112002001102110001200
4202103200011223320
51100414101313031
624531013014200
72442535146150
oct422340055370
9115061373050
1036834401016
1114692071736
12717b924360
133620299c7a
141ad5db9760
15e58b318e6
hex893805af8

36834401016 has 96 divisors (see below), whose sum is σ = 114043238400. Its totient is φ = 10521161280.

The previous prime is 36834401003. The next prime is 36834401059. The reversal of 36834401016 is 61010443863.

It is a happy number.

36834401016 is a `hidden beast` number, since 36 + 83 + 440 + 101 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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, 2305905 + ... + 2321823.

It is an arithmetic number, because the mean of its divisors is an integer number (1187950400).

Almost surely, 236834401016 is an apocalyptic number.

36834401016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36834401016 is an abundant number, since it is smaller than the sum of its proper divisors (77208837384).

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

36834401016 is a wasteful number, since it uses less digits than its factorization.

36834401016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20529 (or 20522 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 36834401016 its reverse (61010443863), we get a palindrome (97844844879).

The spelling of 36834401016 in words is "thirty-six billion, eight hundred thirty-four million, four hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4591 9182 13773 15919 18364 27546 31838 32137 36728 41319 47757 55092 63676 64274 82638 95514 96411 110184 111433 127352 128548 143271 165276 191028 192822 222866 257096 286542 289233 330552 334299 382056 385644 445732 573084 578466 668598 771288 891464 1002897 1146168 1156932 1337196 2005794 2313864 2674392 4011588 8023176 73084129 146168258 219252387 292336516 438504774 511588903 584673032 657757161 877009548 1023177806 1315514322 1534766709 1754019096 2046355612 2631028644 3069533418 4092711224 4604300127 5262057288 6139066836 9208600254 12278133672 18417200508 36834401016