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2132977496 = 2313234991787
BaseRepresentation
bin111111100100010…
…1010011101011000
312111122120111001112
41333020222131120
513332020234441
6551353035452
7103600003166
oct17710523530
95448514045
102132977496
119a5012621
124b63b5b88
1327cb96180
141633d2236
15c73cd4eb
hex7f22a758

2132977496 has 64 divisors (see below), whose sum is σ = 4505760000. Its totient is φ = 939235968.

The previous prime is 2132977447. The next prime is 2132977541. The reversal of 2132977496 is 6947792312.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1192715 + ... + 1194501.

It is an arithmetic number, because the mean of its divisors is an integer number (70402500).

Almost surely, 22132977496 is an apocalyptic number.

2132977496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132977496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252880000).

2132977496 is an abundant number, since it is smaller than the sum of its proper divisors (2372782504).

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

2132977496 is a wasteful number, since it uses less digits than its factorization.

2132977496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2324 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 50.

The square root of 2132977496 is about 46184.1693223988. The cubic root of 2132977496 is about 1287.2476010843.

The spelling of 2132977496 in words is "two billion, one hundred thirty-two million, nine hundred seventy-seven thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 499 598 998 1196 1787 1996 2392 3574 3992 6487 7148 11477 12974 14296 22954 23231 25948 41101 45908 46462 51896 82202 91816 92924 149201 164404 185848 298402 328808 534313 596804 891713 1068626 1193608 1783426 2137252 3566852 4274504 7133704 11592269 20509399 23184538 41018798 46369076 82037596 92738152 164075192 266622187 533244374 1066488748 2132977496