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151540504336 = 24134057179581
BaseRepresentation
bin1000110100100010000…
…1001001011100010000
3112111011010012020112201
42031020201021130100
54440323332114321
6153341114532544
713643213014354
oct2151041113420
9474133166481
10151540504336
11592a4733931
1225452737154
13113a07839a0
1474981d9464
153e1de7a291
hex2348849710

151540504336 has 40 divisors (see below), whose sum is σ = 316274790104. Its totient is φ = 69924142080.

The previous prime is 151540504289. The next prime is 151540504337. The reversal of 151540504336 is 633405045151.

It can be written as a sum of positive squares in 4 ways, for example, as 3715633936 + 147824870400 = 60956^2 + 384480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151540504295 and 151540504304.

It is not an unprimeable number, because it can be changed into a prime (151540504337) 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 7 ways as a sum of consecutive naturals, for example, 754066 + ... + 933646.

Almost surely, 2151540504336 is an apocalyptic number.

151540504336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151540504336 is an abundant number, since it is smaller than the sum of its proper divisors (164734285768).

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

151540504336 is a wasteful number, since it uses less digits than its factorization.

151540504336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183659 (or 183653 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 151540504336 its reverse (633405045151), we get a palindrome (784945549487).

The spelling of 151540504336 in words is "one hundred fifty-one billion, five hundred forty million, five hundred four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 4057 8114 16228 32456 52741 64912 105482 179581 210964 359162 421928 718324 843856 1436648 2334553 2873296 4669106 9338212 18676424 37352848 728560117 1457120234 2914240468 5828480936 9471281521 11656961872 18942563042 37885126084 75770252168 151540504336