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20998431616 = 27833895081
BaseRepresentation
bin10011100011100110…
…101010001110000000
32000012102020211221111
4103203212222032000
5321001044302431
613351353133104
71342234503151
oct234346521600
960172224844
1020998431616
1189a6081518
1240a03ba194
131c984b5c86
141032b45928
1582d73c7b1
hex4e39aa380

20998431616 has 64 divisors (see below), whose sum is σ = 42454011600. Its totient is φ = 10344017920.

The previous prime is 20998431613. The next prime is 20998431659. The reversal of 20998431616 is 61613489902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20998431616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20998431613) 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, 4130196 + ... + 4135276.

Almost surely, 220998431616 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 20998431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227005800).

20998431616 is an abundant number, since it is smaller than the sum of its proper divisors (21455579984).

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

20998431616 is an equidigital number, since it uses as much as digits as its factorization.

20998431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 20998431616 in words is "twenty billion, nine hundred ninety-eight million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 389 664 778 1328 1556 2656 3112 5081 5312 6224 10162 10624 12448 20324 24896 32287 40648 49792 64574 81296 129148 162592 258296 325184 421723 516592 650368 843446 1033184 1686892 1976509 2066368 3373784 3953018 4132736 6747568 7906036 13495136 15812072 26990272 31624144 53980544 63248288 126496576 164050247 252993152 328100494 656200988 1312401976 2624803952 5249607904 10499215808 20998431616