Search a number
-
+
5356059351552 = 293371319331677
BaseRepresentation
bin100110111110000111000…
…0000111101101000000000
3200222000220222121021111000
41031330032000331220000
51200223202143222202
615220312324052000
71061651100212310
oct115741600755000
920860828537430
105356059351552
111785545965368
12726059534000
132cb0c710c3c0
1414733dc77440
15944cb6d391c
hex4df0e03da00

5356059351552 has 1280 divisors, whose sum is σ = 20632479436800. Its totient is φ = 1332226621440.

The previous prime is 5356059351547. The next prime is 5356059351553. The reversal of 5356059351552 is 2551539506535.

5356059351552 is a `hidden beast` number, since 5 + 3 + 5 + 6 + 0 + 59 + 35 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5356059351553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7911461038 + ... + 7911461714.

It is an arithmetic number, because the mean of its divisors is an integer number (16119124560).

Almost surely, 25356059351552 is an apocalyptic number.

5356059351552 is a gapful number since it is divisible by the number (52) 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 5356059351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10316239718400).

5356059351552 is an abundant number, since it is smaller than the sum of its proper divisors (15276420085248).

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

5356059351552 is a wasteful number, since it uses less digits than its factorization.

5356059351552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 15187500, while the sum is 54.

The spelling of 5356059351552 in words is "five trillion, three hundred fifty-six billion, fifty-nine million, three hundred fifty-one thousand, five hundred fifty-two".