Search a number
-
+
36976213264 = 24480732
BaseRepresentation
bin100010011011111101…
…000011110100010000
310112102221021020220011
4202123331003310100
51101211402311024
624553040324304
72446206425014
oct423375036420
9115387236804
1036976213264
1114755121341
1271bb313694
133643790143
141b0ab72544
15e662e5094
hex89bf43d10

36976213264 has 15 divisors (see below), whose sum is σ = 71642903493. Its totient is φ = 18487722048.

The previous prime is 36976213249. The next prime is 36976213271. The reversal of 36976213264 is 46231267963.

The square root of 36976213264 is 192292.

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., 29124835600 + 7851377664 = 170660^2 + 88608^2 .

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 2 ways as a sum of consecutive naturals, for example, 745132 + ... + 793204.

Almost surely, 236976213264 is an apocalyptic number.

36976213264 is the 192292-nd square number.

It is an amenable number.

36976213264 is a deficient number, since it is larger than the sum of its proper divisors (34666690229).

36976213264 is an frugal number, since it uses more digits than its factorization.

36976213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96154 (or 48075 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 49.

Multiplying 36976213264 by its sum of digits (49), we get a square (1811834449936 = 13460442).

The spelling of 36976213264 in words is "thirty-six billion, nine hundred seventy-six million, two hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 48073 96146 192292 384584 769168 2311013329 4622026658 9244053316 18488106632 36976213264