Search a number
-
+
35149019808 = 253782163709
BaseRepresentation
bin100000101111000010…
…110111101010100000
310100201121002012200110
4200233002313222200
51033441122113213
624051445251320
72353011511260
oct405702675240
9110647065613
1035149019808
11139a7783901
12698b403b40
13341206b696
1419b621b7a0
15daabb95c3
hex82f0b7aa0

35149019808 has 96 divisors (see below), whose sum is σ = 105577153920. Its totient is φ = 10030187520.

The previous prime is 35149019791. The next prime is 35149019839. The reversal of 35149019808 is 80891094153.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 519858 + ... + 583566.

It is an arithmetic number, because the mean of its divisors is an integer number (1099762020).

Almost surely, 235149019808 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 35149019808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52788576960).

35149019808 is an abundant number, since it is smaller than the sum of its proper divisors (70428134112).

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

35149019808 is a wasteful number, since it uses less digits than its factorization.

35149019808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64550 (or 64542 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 35149019808 in words is "thirty-five billion, one hundred forty-nine million, nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 821 1642 2463 3284 4926 5747 6568 9852 11494 13136 17241 19704 22988 26272 34482 39408 45976 63709 68964 78816 91952 127418 137928 183904 191127 254836 275856 382254 445963 509672 551712 764508 891926 1019344 1337889 1529016 1783852 2038688 2675778 3058032 3567704 5351556 6116064 7135408 10703112 14270816 21406224 42812448 52305089 104610178 156915267 209220356 313830534 366135623 418440712 627661068 732271246 836881424 1098406869 1255322136 1464542492 1673762848 2196813738 2510644272 2929084984 4393627476 5021288544 5858169968 8787254952 11716339936 17574509904 35149019808