Search a number
-
+
26361462330 = 23257227184333
BaseRepresentation
bin11000100011010000…
…111111111000111010
32112001011202001000200
4120203100333320322
5412442013243310
620035453343030
71622155506210
oct304320777072
975034661020
1026361462330
11101a83a3905
125138497a76
132641610c28
1413c1106cb0
15a444a39c0
hex62343fe3a

26361462330 has 96 divisors (see below), whose sum is σ = 78676700544. Its totient is φ = 5998900608.

The previous prime is 26361462329. The next prime is 26361462367. The reversal of 26361462330 is 3326416362.

26361462330 is a `hidden beast` number, since 2 + 6 + 3 + 614 + 6 + 2 + 3 + 30 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50844 + ... + 235176.

It is an arithmetic number, because the mean of its divisors is an integer number (819548964).

Almost surely, 226361462330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26361462330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338350272).

26361462330 is an abundant number, since it is smaller than the sum of its proper divisors (52315238214).

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

26361462330 is a wasteful number, since it uses less digits than its factorization.

26361462330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184580 (or 184577 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 26361462330 its reverse (3326416362), we get a palindrome (29687878692).

The spelling of 26361462330 in words is "twenty-six billion, three hundred sixty-one million, four hundred sixty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 227 315 454 630 681 1135 1362 1589 2043 2270 3178 3405 4086 4767 6810 7945 9534 10215 14301 15890 20430 23835 28602 47670 71505 143010 184333 368666 552999 921665 1105998 1290331 1658997 1843330 2580662 2764995 3317994 3870993 5529990 6451655 7741986 8294985 11612979 12903310 16589970 19354965 23225958 38709930 41843591 58064895 83687182 116129790 125530773 209217955 251061546 292905137 376592319 418435910 585810274 627653865 753184638 878715411 1255307730 1464525685 1757430822 1882961595 2636146233 2929051370 3765923190 4393577055 5272292466 8787154110 13180731165 26361462330