Search a number
-
+
536430267396 = 22321220692
BaseRepresentation
bin1111100111001011011…
…11000100110000000100
31220021121202012001012100
413303211233010300010
532242102122024041
61050233242152100
753520146016432
oct7634557046004
91807552161170
10536430267396
111975539a0601
1287b694b2630
133b77b789b0a
141bd6b67dd52
15de490366b6
hex7ce5bc4c04

536430267396 has 27 divisors (see below), whose sum is σ = 1355987617621. Its totient is φ = 178808624304.

The previous prime is 536430267343. The next prime is 536430267397. The reversal of 536430267396 is 693762034635.

It is a happy number.

The square root of 536430267396 is 732414.

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

536430267396 is a `hidden beast` number, since 5 + 36 + 430 + 26 + 73 + 96 = 666.

536430267396 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9528492996 + 526901774400 = 97614^2 + 725880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536430267397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4333450 + ... + 4455518.

Almost surely, 2536430267396 is an apocalyptic number.

536430267396 is the 732414-th square number.

It is an amenable number.

536430267396 is an abundant number, since it is smaller than the sum of its proper divisors (819557350225).

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

536430267396 is an frugal number, since it uses more digits than its factorization.

536430267396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244148 (or 122074 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 536430267396 in words is "five hundred thirty-six billion, four hundred thirty million, two hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 122069 244138 366207 488276 732414 1098621 1464828 2197242 4394484 14900840761 29801681522 44702522283 59603363044 89405044566 134107566849 178810089132 268215133698 536430267396