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20375424582966 = 2324777413111281
BaseRepresentation
bin1001010001000000001011…
…11100011100010100110110
32200010212112101001100011200
410220200011330130110312
510132312332143123331
6111200201341513330
74202035005230505
oct450400574342466
980125471040150
1020375424582966
116546194a99922
122350a88572846
13b4a51835659b
145062665da83c
15255028ec95e6
hex128805f1c536

20375424582966 has 48 divisors (see below), whose sum is σ = 45091884696768. Its totient is φ = 6646440787200.

The previous prime is 20375424582943. The next prime is 20375424582973. The reversal of 20375424582966 is 66928542457302.

20375424582966 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 5 + 42 + 4 + 582 + 9 + 6 + 6 = 666.

It is a super-2 number, since 2×203754245829662 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4993246 + ... + 8104526.

It is an arithmetic number, because the mean of its divisors is an integer number (939414264516).

Almost surely, 220375424582966 is an apocalyptic number.

20375424582966 is an abundant number, since it is smaller than the sum of its proper divisors (24716460113802).

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

20375424582966 is a wasteful number, since it uses less digits than its factorization.

20375424582966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119077 (or 3119074 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 20375424582966 in words is "twenty trillion, three hundred seventy-five billion, four hundred twenty-four million, five hundred eighty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 7741 15482 23223 46446 69669 139338 363827 727654 1091481 2182962 3111281 3274443 6222562 6548886 9333843 18667686 28001529 56003058 146230207 292460414 438690621 877381242 1316071863 2632143726 24084426221 48168852442 72253278663 144506557326 216759835989 433519671978 1131968032387 2263936064774 3395904097161 6791808194322 10187712291483 20375424582966