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20493136132 = 2272178777013
BaseRepresentation
bin10011000101011111…
…000111000100000100
31221220012110011211221
4103011133013010010
5313432220324012
613225303010124
71323560532400
oct230537070404
957805404757
1020493136132
118766928547
123b7b139944
131c178c8771
14dc59b2100
157ee1ca507
hex4c57c7104

20493136132 has 72 divisors (see below), whose sum is σ = 44228853144. Its totient is φ = 8255536128.

The previous prime is 20493136127. The next prime is 20493136163. The reversal of 20493136132 is 23163139402.

It can be written as a sum of positive squares in 4 ways, for example, as 12919959556 + 7573176576 = 113666^2 + 87024^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918658 + ... + 2925670.

It is an arithmetic number, because the mean of its divisors is an integer number (614289627).

Almost surely, 220493136132 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 20493136132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22114426572).

20493136132 is an abundant number, since it is smaller than the sum of its proper divisors (23735717012).

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

20493136132 is a wasteful number, since it uses less digits than its factorization.

20493136132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 20493136132 in words is "twenty billion, four hundred ninety-three million, one hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 877 1666 1754 3332 3508 6139 7013 12278 14026 14909 24556 28052 29818 42973 49091 59636 85946 98182 104363 119221 171892 196364 208726 238442 343637 417452 476884 687274 730541 834547 1374548 1461082 1669094 2922164 3338188 5841829 6150401 11683658 12300802 23367316 24601604 43052807 86105614 104556817 172211228 209113634 301369649 418227268 602739298 731897719 1205478596 1463795438 2927590876 5123284033 10246568066 20493136132