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20280038464 = 267225432
BaseRepresentation
bin10010111000110010…
…001101010001000000
31221100100110200210201
4102320302031101000
5313013142212324
613152211334544
71315362324400
oct227062152100
957310420721
1020280038464
11866760a074
123b1b8b1454
131bb270697a
14da5580800
157da635444
hex4b8c8d440

20280038464 has 63 divisors (see below), whose sum is σ = 46831935927. Its totient is φ = 8688027264.

The previous prime is 20280038461. The next prime is 20280038501. The reversal of 20280038464 is 46483008202.

The square root of 20280038464 is 142408.

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

It is a super-2 number, since 2×202800384642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20280038461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7973577 + ... + 7976119.

Almost surely, 220280038464 is an apocalyptic number.

20280038464 is the 142408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20280038464

20280038464 is an abundant number, since it is smaller than the sum of its proper divisors (26551897463).

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

20280038464 is an frugal number, since it uses more digits than its factorization.

20280038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 20280038464 in words is "twenty billion, two hundred eighty million, thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2543 3136 5086 10172 17801 20344 35602 40688 71204 81376 124607 142408 162752 249214 284816 498428 569632 996856 1139264 1993712 3987424 6466849 7974848 12933698 25867396 45267943 51734792 90535886 103469584 181071772 206939168 316875601 362143544 413878336 633751202 724287088 1267502404 1448574176 2535004808 2897148352 5070009616 10140019232 20280038464