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20345028496 = 241342112
BaseRepresentation
bin10010111100101010…
…000111111110010000
31221111212202112100221
4102330222013332100
5313131311402441
613202452322424
71320111613612
oct227452077620
957455675327
1020345028496
1186a0269041
123b39613414
131bc3010000
14db005adb2
157e11c18d1
hex4bca87f90

20345028496 has 75 divisors (see below), whose sum is σ = 42906596343. Its totient is φ = 9345510720.

The previous prime is 20345028493. The next prime is 20345028551. The reversal of 20345028496 is 69482054302.

The square root of 20345028496 is 142636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10087390096 + 10257638400 = 100436^2 + 101280^2 .

It is not an unprimeable number, because it can be changed into a prime (20345028493) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 96421831 + ... + 96422041.

Almost surely, 220345028496 is an apocalyptic number.

20345028496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20345028496 is the 142636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345028496

20345028496 is an abundant number, since it is smaller than the sum of its proper divisors (22561567847).

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

20345028496 is an frugal number, since it uses more digits than its factorization.

20345028496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 20345028496 in words is "twenty billion, three hundred forty-five million, twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 211 338 422 676 844 1352 1688 2197 2704 2743 3376 4394 5486 8788 10972 17576 21944 28561 35152 35659 43888 44521 57122 71318 89042 114244 142636 178084 228488 285272 356168 456976 463567 570544 578773 712336 927134 1157546 1854268 2315092 3708536 4630184 6026371 7417072 7524049 9260368 12052742 15048098 24105484 30096196 48210968 60192392 96421936 97812637 120384784 195625274 391250548 782501096 1271564281 1565002192 2543128562 5086257124 10172514248 20345028496