Search a number
-
+
21921268635 = 3257294355807
BaseRepresentation
bin10100011010100111…
…000000001110011011
32002120201201211100100
4110122213000032123
5324343321044020
614023120510443
71404141465120
oct243247001633
962521654310
1021921268635
119329a91642
1242b947b423
1320b4747196
1410bd528747
1588477aa90
hex51a9c039b

21921268635 has 96 divisors (see below), whose sum is σ = 45967933440. Its totient is φ = 9450411264.

The previous prime is 21921268631. The next prime is 21921268657. The reversal of 21921268635 is 53686212912.

21921268635 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 1 + 2 + 6 + 8 + 635 = 666.

It is not a de Polignac number, because 21921268635 - 22 = 21921268631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21921268631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364902 + ... + 420708.

It is an arithmetic number, because the mean of its divisors is an integer number (478832640).

Almost surely, 221921268635 is an apocalyptic number.

21921268635 is an abundant number, since it is smaller than the sum of its proper divisors (24046664805).

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

21921268635 is a wasteful number, since it uses less digits than its factorization.

21921268635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55897 (or 55894 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 21921268635 in words is "twenty-one billion, nine hundred twenty-one million, two hundred sixty-eight thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 29 35 43 45 63 87 105 129 145 203 215 261 301 315 387 435 609 645 903 1015 1247 1305 1505 1827 1935 2709 3045 3741 4515 6235 8729 9135 11223 13545 18705 26187 43645 55807 56115 78561 130935 167421 279035 390649 392805 502263 837105 1171947 1618403 1953245 2399701 2511315 3515841 4855209 5859735 7199103 8092015 11328821 11998505 14565627 16797907 17579205 21597309 24276045 33986463 35995515 50393721 56644105 69591329 72828135 83989535 101959389 107986545 151181163 169932315 208773987 251968605 347956645 487139303 509796945 626321961 755905815 1043869935 1461417909 2435696515 3131609805 4384253727 7307089545 21921268635