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20694332672 = 281328122129
BaseRepresentation
bin10011010001011110…
…100111010100000000
31222102020001000121122
4103101132213110000
5314340222121142
613301251211412
71331552632256
oct232136472400
958366030548
1020694332672
11885a458482
1240165a6b68
131c4a4b1580
1410045c65d6
15811bbe1d2
hex4d17a7500

20694332672 has 72 divisors (see below), whose sum is σ = 44645681640. Its totient is φ = 9516810240.

The previous prime is 20694332629. The next prime is 20694332677. The reversal of 20694332672 is 27623349602.

It can be written as a sum of positive squares in 4 ways, for example, as 6194319616 + 14500013056 = 78704^2 + 120416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20694332677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924104 + ... + 946232.

Almost surely, 220694332672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20694332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322840820).

20694332672 is an abundant number, since it is smaller than the sum of its proper divisors (23951348968).

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

20694332672 is a wasteful number, since it uses less digits than its factorization.

20694332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22439 (or 22425 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 20694332672 in words is "twenty billion, six hundred ninety-four million, three hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 281 416 562 832 1124 1664 2248 3328 3653 4496 7306 8992 14612 17984 22129 29224 35968 44258 58448 71936 88516 116896 177032 233792 287677 354064 467584 575354 708128 935168 1150708 1416256 2301416 2832512 4602832 5665024 6218249 9205664 12436498 18411328 24872996 36822656 49745992 73645312 80837237 99491984 161674474 198983968 323348948 397967936 646697896 795935872 1293395792 1591871744 2586791584 5173583168 10347166336 20694332672