Search a number
-
+
21979393425 = 32521161197739
BaseRepresentation
bin10100011110000100…
…101110110110010001
32002201210002212120100
4110132010232312101
5330003211042200
614032554403013
71405445522133
oct243604566621
962653085510
1021979393425
119359881660
124314a30469
1320c37b8752
1410c7139053
1588990cd00
hex51e12ed91

21979393425 has 144 divisors (see below), whose sum is σ = 43931384640. Its totient is φ = 10414656000.

The previous prime is 21979393417. The next prime is 21979393463. The reversal of 21979393425 is 52439397912.

It is not a de Polignac number, because 21979393425 - 23 = 21979393417 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 29741706 + ... + 29742444.

It is an arithmetic number, because the mean of its divisors is an integer number (305079060).

Almost surely, 221979393425 is an apocalyptic number.

21979393425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21979393425 is a deficient number, since it is larger than the sum of its proper divisors (21951991215).

21979393425 is a wasteful number, since it uses less digits than its factorization.

21979393425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 21979393425 in words is "twenty-one billion, nine hundred seventy-nine million, three hundred ninety-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 61 75 99 165 183 197 225 275 305 495 549 591 671 739 825 915 985 1525 1773 2013 2167 2217 2475 2745 2955 3355 3695 4575 4925 6039 6501 6651 8129 8865 10065 10835 11085 12017 13725 14775 16775 18475 19503 24387 30195 32505 33255 36051 40645 44325 45079 50325 54175 55425 60085 73161 97515 108153 121935 132187 135237 145583 150975 162525 166275 180255 203225 225395 300425 365805 396561 405711 436749 487575 495869 540765 609675 660935 676185 727915 901275 1126975 1189683 1310247 1487607 1601413 1829025 1982805 2028555 2183745 2479345 2703825 3304675 3380925 3639575 4462821 4804239 5948415 6551235 7438035 8007065 8880563 9914025 10142775 10918725 12396725 14412717 22314105 24021195 26641689 29742075 32756175 37190175 40035325 44402815 72063585 79925067 97686193 111570525 120105975 133208445 222014075 293058579 360317925 399625335 488430965 666042225 879175737 1465292895 1998126675 2442154825 4395878685 7326464475 21979393425