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20961264168 = 23321347476479
BaseRepresentation
bin10011100001011000…
…111000001000101000
32000002211022112210100
4103201120320020220
5320412040423133
613343544345400
71341303543225
oct234130701050
960084275710
1020961264168
1189870a6019
12408ba75260
131c908a17c0
14102bc2c94c
1582a349e13
hex4e1638228

20961264168 has 96 divisors (see below), whose sum is σ = 62437939200. Its totient is φ = 6312380544.

The previous prime is 20961264167. The next prime is 20961264229. The reversal of 20961264168 is 86146216902.

20961264168 is a `hidden beast` number, since 20 + 9 + 612 + 6 + 4 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (20961264167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194248 + ... + 282231.

It is an arithmetic number, because the mean of its divisors is an integer number (650395200).

Almost surely, 220961264168 is an apocalyptic number.

It is an amenable number.

20961264168 is an abundant number, since it is smaller than the sum of its proper divisors (41476675032).

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

20961264168 is a wasteful number, since it uses less digits than its factorization.

20961264168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476551 (or 476544 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20961264168 in words is "twenty billion, nine hundred sixty-one million, two hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 1128 1222 1692 1833 2444 3384 3666 4888 5499 7332 10998 14664 21996 43992 476479 952958 1429437 1905916 2858874 3811832 4288311 5717748 6194227 8576622 11435496 12388454 17153244 18582681 22394513 24776908 34306488 37165362 44789026 49553816 55748043 67183539 74330724 89578052 111496086 134367078 148661448 179156104 201550617 222992172 268734156 291128669 403101234 445984344 537468312 582257338 806202468 873386007 1164514676 1612404936 1746772014 2329029352 2620158021 3493544028 5240316042 6987088056 10480632084 20961264168