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20012319492 = 223111035772551
BaseRepresentation
bin10010101000110100…
…111100001100000100
31220122200201011102020
4102220310330030010
5311441123210432
613105445243140
71305631623534
oct225064741404
956580634366
1020012319492
11853a483920
123a661034b0
131b6c0cc189
14d7bbb14c4
157c1da122c
hex4a8d3c304

20012319492 has 96 divisors (see below), whose sum is σ = 51544356864. Its totient is φ = 5992704000.

The previous prime is 20012319491. The next prime is 20012319541. The reversal of 20012319492 is 29491321002.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20012319491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7843617 + ... + 7846167.

It is an arithmetic number, because the mean of its divisors is an integer number (536920384).

Almost surely, 220012319492 is an apocalyptic number.

20012319492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012319492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25772178432).

20012319492 is an abundant number, since it is smaller than the sum of its proper divisors (31532037372).

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

20012319492 is a wasteful number, since it uses less digits than its factorization.

20012319492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 20012319492 in words is "twenty billion, twelve million, three hundred nineteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 577 618 1133 1154 1236 1731 2266 2308 2551 3399 3462 4532 5102 6347 6798 6924 7653 10204 12694 13596 15306 19041 25388 28061 30612 38082 56122 59431 76164 84183 112244 118862 168366 178293 237724 262753 336732 356586 525506 653741 713172 788259 1051012 1307482 1471927 1576518 1961223 2614964 2890283 2943854 3153036 3922446 4415781 5780566 5887708 7844892 8670849 8831562 11561132 16191197 17341698 17663124 32382394 34683396 48573591 64764788 97147182 151608481 194294364 303216962 454825443 606433924 909650886 1667693291 1819301772 3335386582 5003079873 6670773164 10006159746 20012319492