Search a number
-
+
45423406644 = 223711103477277
BaseRepresentation
bin101010010011011100…
…100010111000110100
311100020122011010210020
4222103130202320310
51221011343003034
632511153125140
73165430404660
oct522334427064
9140218133706
1045423406644
111829a3687a0
1289782597b0
13438b859615
1422ac9a78a0
1512acbc7249
hexa93722e34

45423406644 has 96 divisors (see below), whose sum is σ = 133424019456. Its totient is φ = 11683716480.

The previous prime is 45423406627. The next prime is 45423406657. The reversal of 45423406644 is 44660432454.

It is a happy number.

It is a super-2 number, since 2×454234066442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45423406596 and 45423406605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143467 + ... + 333810.

It is an arithmetic number, because the mean of its divisors is an integer number (1389833536).

Almost surely, 245423406644 is an apocalyptic number.

45423406644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45423406644 is an abundant number, since it is smaller than the sum of its proper divisors (88000612812).

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

45423406644 is a wasteful number, since it uses less digits than its factorization.

45423406644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477405 (or 477403 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 45423406644 in words is "forty-five billion, four hundred twenty-three million, four hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 206 231 308 309 412 462 618 721 924 1133 1236 1442 2163 2266 2884 3399 4326 4532 6798 7931 8652 13596 15862 23793 31724 47586 95172 477277 954554 1431831 1909108 2863662 3340939 5250047 5727324 6681878 10022817 10500094 13363756 15750141 20045634 21000188 31500282 36750329 40091268 49159531 63000564 73500658 98319062 110250987 147001316 147478593 196638124 220501974 294957186 344116717 441003948 540754841 589914372 688233434 1032350151 1081509682 1376466868 1622264523 2064700302 2163019364 3244529046 3785283887 4129400604 6489058092 7570567774 11355851661 15141135548 22711703322 45423406644