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2631606152 = 237225912
BaseRepresentation
bin1001110011011011…
…0001111110001000
320210101211102222112
42130312301332020
520342142344102
61113044241452
7122133166100
oct23466617610
96711742875
102631606152
11113052271a
126153a0288
1332c28b006
141ad70c200
15106075252
hex9cdb1f88

2631606152 has 36 divisors (see below), whose sum is σ = 5742071415. Its totient is φ = 1127395920.

The previous prime is 2631606119. The next prime is 2631606193. The reversal of 2631606152 is 2516061362.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1315803076 + 1315803076 = 36274^2 + 36274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36274.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1014377 + ... + 1016967.

Almost surely, 22631606152 is an apocalyptic number.

It is an amenable number.

2631606152 is an abundant number, since it is smaller than the sum of its proper divisors (3110465263).

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

2631606152 is an frugal number, since it uses more digits than its factorization.

2631606152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2631606152 is about 51299.1827615216. The cubic root of 2631606152 is about 1380.6183170509.

Multiplying 2631606152 by its sum of digits (32), we get a square (84211396864 = 2901922).

The spelling of 2631606152 in words is "two billion, six hundred thirty-one million, six hundred six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2591 5182 10364 18137 20728 36274 72548 126959 145096 253918 507836 1015672 6713281 13426562 26853124 46992967 53706248 93985934 187971868 328950769 375943736 657901538 1315803076 2631606152