Search a number
-
+
34798121523 = 32111073738807
BaseRepresentation
bin100000011010001000…
…010011001000110011
310022211010210201201200
4200122020103020303
51032231304342043
623552552302243
72341221103224
oct403210231063
9108733721650
1034798121523
11138376a5820
1268b19a1983
13338745c669
14198179924b
15d89ea47d3
hex81a213233

34798121523 has 48 divisors (see below), whose sum is σ = 55500546816. Its totient is φ = 20834291520.

The previous prime is 34798121509. The next prime is 34798121621. The reversal of 34798121523 is 32512189743.

It is a happy number.

34798121523 is a `hidden beast` number, since 3 + 47 + 9 + 81 + 2 + 1 + 523 = 666.

It is not a de Polignac number, because 34798121523 - 26 = 34798121459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34798123523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3946786 + ... + 3955592.

It is an arithmetic number, because the mean of its divisors is an integer number (1156261392).

Almost surely, 234798121523 is an apocalyptic number.

34798121523 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34798121523 is a deficient number, since it is larger than the sum of its proper divisors (20702425293).

34798121523 is a wasteful number, since it uses less digits than its factorization.

34798121523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9301 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 34798121523 in words is "thirty-four billion, seven hundred ninety-eight million, one hundred twenty-one thousand, five hundred twenty-three".

Divisors: 1 3 9 11 33 99 107 321 373 963 1119 1177 3357 3531 4103 8807 10593 12309 26421 36927 39911 79263 96877 119733 290631 359199 439021 871893 942349 1317063 2827047 3285011 3951189 8481141 9855033 10365839 29565099 31097517 36135121 93292551 108405363 325216089 351496177 1054488531 3163465593 3866457947 11599373841 34798121523