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5360421564 = 22366727437
BaseRepresentation
bin1001111111000000…
…11000101010111100
3111211120120122000000
410333200120222330
541434231442224
62243524234300
7246556555131
oct47740305274
914746518000
105360421564
112300900073
12105723b990
136757234a4
1438bcc2588
152158ed0c9
hex13f818abc

5360421564 has 84 divisors (see below), whose sum is σ = 14275113384. Its totient is φ = 1760074272.

The previous prime is 5360421551. The next prime is 5360421587. The reversal of 5360421564 is 4651240635.

5360421564 is a `hidden beast` number, since 53 + 6 + 0 + 42 + 1 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 181654 + ... + 209090.

It is an arithmetic number, because the mean of its divisors is an integer number (169941826).

Almost surely, 25360421564 is an apocalyptic number.

5360421564 is a gapful number since it is divisible by the number (54) 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 5360421564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137556692).

5360421564 is an abundant number, since it is smaller than the sum of its proper divisors (8914691820).

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

5360421564 is a wasteful number, since it uses less digits than its factorization.

5360421564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27526 (or 27509 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5360421564 is about 73214.8998770059. The cubic root of 5360421564 is about 1750.1139043139.

The spelling of 5360421564 in words is "five billion, three hundred sixty million, four hundred twenty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 243 268 324 402 486 603 729 804 972 1206 1458 1809 2412 2916 3618 5427 7236 10854 16281 21708 27437 32562 48843 54874 65124 82311 97686 109748 164622 195372 246933 329244 493866 740799 987732 1481598 1838279 2222397 2963196 3676558 4444794 5514837 6667191 7353116 8889588 11029674 13334382 16544511 20001573 22059348 26668764 33089022 40003146 49633533 66178044 80006292 99267066 148900599 198534132 297801198 446701797 595602396 893403594 1340105391 1786807188 2680210782 5360421564