Search a number
-
+
19770609664 = 212136
BaseRepresentation
bin10010011010011010…
…111001000000000000
31220000211220000212101
4102122122321000000
5310442234002124
613025452440144
71266635260261
oct223232710000
956024800771
1019770609664
118425aa2733
1239b9179054
131b31000000
14d57a52968
157aaa58644
hex49a6b9000

19770609664 has 91 divisors (see below), whose sum is σ = 42831091213. Its totient is φ = 9124896768.

The previous prime is 19770609653. The next prime is 19770609739. The reversal of 19770609664 is 46690607791.

The square root of 19770609664 is 140608.

The cubic root of 19770609664 is 2704.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 16962457600 + 2808152064 = 130240^2 + 52992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1520816122 + ... + 1520816134.

Almost surely, 219770609664 is an apocalyptic number.

19770609664 is the 140608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19770609664

19770609664 is an abundant number, since it is smaller than the sum of its proper divisors (23060481549).

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

19770609664 is an frugal number, since it uses more digits than its factorization.

19770609664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 19770609664 in words is "nineteen billion, seven hundred seventy million, six hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2197 2704 3328 4096 4394 5408 6656 8788 10816 13312 17576 21632 26624 28561 35152 43264 53248 57122 70304 86528 114244 140608 173056 228488 281216 346112 371293 456976 562432 692224 742586 913952 1124864 1485172 1827904 2249728 2970344 3655808 4499456 4826809 5940688 7311616 8998912 9653618 11881376 14623232 19307236 23762752 29246464 38614472 47525504 58492928 77228944 95051008 116985856 154457888 190102016 308915776 380204032 617831552 760408064 1235663104 1520816128 2471326208 4942652416 9885304832 19770609664