Search a number
-
+
26392947264 = 2632241190129
BaseRepresentation
bin11000100101001001…
…000110101001000000
32112010100222122020100
4120211021012221000
5413023043303024
620042540242400
71623020231055
oct304511065100
975110878210
1026392947264
1110214148a12
125146b40400
132647cb5a78
1413c538102c
15a471227c9
hex625246a40

26392947264 has 84 divisors (see below), whose sum is σ = 75964920460. Its totient is φ = 8761098240.

The previous prime is 26392947247. The next prime is 26392947271. The reversal of 26392947264 is 46274929362.

26392947264 is a `hidden beast` number, since 26 + 3 + 92 + 9 + 472 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9252900864 + 17140046400 = 96192^2 + 130920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26392947264.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43752 + ... + 233880.

Almost surely, 226392947264 is an apocalyptic number.

26392947264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26392947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37982460230).

26392947264 is an abundant number, since it is smaller than the sum of its proper divisors (49571973196).

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

26392947264 is a wasteful number, since it uses less digits than its factorization.

26392947264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190388 (or 190375 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 26392947264 in words is "twenty-six billion, three hundred ninety-two million, nine hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 34704 46272 69408 138816 190129 380258 570387 760516 1140774 1521032 1711161 2281548 3042064 3422322 4563096 6084128 6844644 9126192 12168256 13689288 18252384 27378576 36504768 45821089 54757152 91642178 109514304 137463267 183284356 274926534 366568712 412389801 549853068 733137424 824779602 1099706136 1466274848 1649559204 2199412272 2932549696 3299118408 4398824544 6598236816 8797649088 13196473632 26392947264