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20959465984 = 29791912713
BaseRepresentation
bin10011100001010010…
…000001001000000000
32000002200221012010221
4103201102001020000
5320411110402414
613343442032424
71341252343552
oct234122011000
960080835127
1020959465984
118986088016
12408b348714
131c903c21a2
14102b8c14d2
1582a0e2224
hex4e1481200

20959465984 has 80 divisors (see below), whose sum is σ = 42645841920. Its totient is φ = 10289111040.

The previous prime is 20959465951. The next prime is 20959465987. The reversal of 20959465984 is 48956495902.

It is not an unprimeable number, because it can be changed into a prime (20959465987) 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, 7724212 + ... + 7726924.

It is an arithmetic number, because the mean of its divisors is an integer number (533073024).

Almost surely, 220959465984 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 20959465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322920960).

20959465984 is an abundant number, since it is smaller than the sum of its proper divisors (21686375936).

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

20959465984 is an equidigital number, since it uses as much as digits as its factorization.

20959465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 20959465984 in words is "twenty billion, nine hundred fifty-nine million, four hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 191 256 316 382 512 632 764 1264 1528 2528 2713 3056 5056 5426 6112 10112 10852 12224 15089 20224 21704 24448 30178 40448 43408 48896 60356 86816 97792 120712 173632 214327 241424 347264 428654 482848 518183 694528 857308 965696 1036366 1389056 1714616 1931392 2072732 3429232 3862784 4145464 6858464 7725568 8290928 13716928 16581856 27433856 33163712 40936457 54867712 66327424 81872914 109735424 132654848 163745828 265309696 327491656 654983312 1309966624 2619933248 5239866496 10479732992 20959465984