Search a number
-
+
28259159040 = 2103357192953
BaseRepresentation
bin11010010100011000…
…001000110000000000
32200221102121000112000
4122110120020300000
5430333321042130
620552043504000
72020200613530
oct322430106000
980842530460
1028259159040
1110a916164a2
125587b28000
1328848192a8
1415211714c0
15b05da9260
hex694608c00

28259159040 has 1408 divisors, whose sum is σ = 127339776000. Its totient is φ = 5796790272.

The previous prime is 28259159003. The next prime is 28259159053. The reversal of 28259159040 is 4095195282.

It is a happy number.

28259159040 is a `hidden beast` number, since 2 + 8 + 2 + 59 + 1 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533191654 + ... + 533191706.

Almost surely, 228259159040 is an apocalyptic number.

28259159040 is a gapful number since it is divisible by the number (20) 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 28259159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669888000).

28259159040 is an abundant number, since it is smaller than the sum of its proper divisors (99080616960).

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

28259159040 is a wasteful number, since it uses less digits than its factorization.

28259159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 28259159040 in words is "twenty-eight billion, two hundred fifty-nine million, one hundred fifty-nine thousand, forty".