Search a number
-
+
20435274304 = 2610721672
BaseRepresentation
bin10011000010000010…
…011000101001000000
31221202011120111100021
4103002002120221000
5313322412234204
613215434503224
71322255652124
oct230202305100
957664514307
1020435274304
1187371a8055
123b63894b14
131c08919ab3
14dbc02d584
157e909b154
hex4c2098a40

20435274304 has 63 divisors (see below), whose sum is σ = 41180353123. Its totient is φ = 10061533568.

The previous prime is 20435274281. The next prime is 20435274323. The reversal of 20435274304 is 40347253402.

The square root of 20435274304 is 142952.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20435274304.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122366829 + ... + 122366995.

Almost surely, 220435274304 is an apocalyptic number.

20435274304 is the 142952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20435274304

20435274304 is an abundant number, since it is smaller than the sum of its proper divisors (20745078819).

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

20435274304 is an frugal number, since it uses more digits than its factorization.

20435274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The spelling of 20435274304 in words is "twenty billion, four hundred thirty-five million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 107 167 214 334 428 668 856 1336 1712 2672 3424 5344 6848 10688 11449 17869 22898 27889 35738 45796 55778 71476 91592 111556 142952 183184 223112 285904 366368 446224 571808 732736 892448 1143616 1784896 1911983 2984123 3823966 5968246 7647932 11936492 15295864 23872984 30591728 47745968 61183456 95491936 122366912 190983872 319301161 638602322 1277204644 2554409288 5108818576 10217637152 20435274304