Search a number
-
+
28800202496 = 281312768141
BaseRepresentation
bin11010110100101000…
…000011011100000000
32202100010122212121112
4122310220003130000
5432440322434441
621121452142452
72036460452642
oct326450033400
982303585545
1028800202496
1111239a6644a
1256b9167a28
13293c941b50
141572d6c892
15b3862d4eb
hex6b4a03700

28800202496 has 72 divisors (see below), whose sum is σ = 62398447104. Its totient is φ = 13187543040.

The previous prime is 28800202481. The next prime is 28800202567. The reversal of 28800202496 is 69420200882.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 388586 + ... + 456726.

Almost surely, 228800202496 is an apocalyptic number.

28800202496 is a gapful number since it is divisible by the number (26) 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 28800202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31199223552).

28800202496 is an abundant number, since it is smaller than the sum of its proper divisors (33598244608).

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

28800202496 is a wasteful number, since it uses less digits than its factorization.

28800202496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68297 (or 68283 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 28800202496 in words is "twenty-eight billion, eight hundred million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 832 1016 1651 1664 2032 3302 3328 4064 6604 8128 13208 16256 26416 32512 52832 68141 105664 136282 211328 272564 422656 545128 885833 1090256 1771666 2180512 3543332 4361024 7086664 8653907 8722048 14173328 17307814 17444096 28346656 34615628 56693312 69231256 112500791 113386624 138462512 225001582 226773248 276925024 450003164 553850048 900006328 1107700096 1800012656 2215400192 3600025312 7200050624 14400101248 28800202496