Search a number
-
+
28733138539560 = 233357213231372801
BaseRepresentation
bin1101000100001111101001…
…00001000001010000101000
310202201212020211100112112000
412202013310201001100220
512231230431431231220
6141035453245251000
76023620646554500
oct642076441012050
9122655224315460
1028733138539560
1191787236a8144
123280811b63a60
1313056a5a09b00
14714996dd6a00
1534c6352da390
hex1a21f4841428

28733138539560 has 2304 divisors, whose sum is σ = 127947013171200. Its totient is φ = 5706215424000.

The previous prime is 28733138539487. The next prime is 28733138539571. The reversal of 28733138539560 is 6593583133782.

28733138539560 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 3 + 1 + 38 + 5 + 39 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10258170160 + ... + 10258172960.

It is an arithmetic number, because the mean of its divisors is an integer number (55532557800).

Almost surely, 228733138539560 is an apocalyptic number.

28733138539560 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 28733138539560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63973506585600).

28733138539560 is an abundant number, since it is smaller than the sum of its proper divisors (99213874631640).

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

28733138539560 is a wasteful number, since it uses less digits than its factorization.

28733138539560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 28733138539560 in words is "twenty-eight trillion, seven hundred thirty-three billion, one hundred thirty-eight million, five hundred thirty-nine thousand, five hundred sixty".