Search a number
-
+
4537905415696 = 24172313272
BaseRepresentation
bin100001000001001000000…
…1111011000011000010000
3121001211010102122001011201
41002002100033120120100
51043322112241300241
613352403541520544
7645565345413502
oct102022017303020
917054112561151
104537905415696
11149a5733389a4
12613587413154
1326bbcc085c63
141198c8893d72
157d09477c931
hex420903d8610

4537905415696 has 45 divisors (see below), whose sum is σ = 9340100449869. Its totient is φ = 2135416733952.

The previous prime is 4537905415669. The next prime is 4537905415709. The reversal of 4537905415696 is 6965145097354.

The square root of 4537905415696 is 2130236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3532971344400 + 1004934071296 = 1879620^2 + 1002464^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 144840385 + ... + 144871711.

Almost surely, 24537905415696 is an apocalyptic number.

4537905415696 is the 2130236-th square number.

It is an amenable number.

4537905415696 is an abundant number, since it is smaller than the sum of its proper divisors (4802195034173).

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

4537905415696 is an frugal number, since it uses more digits than its factorization.

4537905415696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62696 (or 31346 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 64.

Multiplying 4537905415696 by its sum of digits (64), we get a square (290425946604544 = 170418882).

The spelling of 4537905415696 in words is "four trillion, five hundred thirty-seven billion, nine hundred five million, four hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 31327 62654 125308 250616 501232 532559 1065118 2130236 4260472 8520944 9053503 18107006 36214012 72428024 144856048 981380929 1962761858 3925523716 7851047432 15702094864 16683475793 33366951586 66733903172 133467806344 266935612688 283619088481 567238176962 1134476353924 2268952707848 4537905415696