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5340503664 = 243417923021
BaseRepresentation
bin1001111100101000…
…11001111001110000
3111210012002200210000
410332110121321300
541414132104124
62241533310000
7246225350346
oct47624317160
914705080700
105340503664
1122a06364a1
121050635300
1367156b552
143893b9996
15213cb66c9
hex13e519e70

5340503664 has 100 divisors (see below), whose sum is σ = 15543993960. Its totient is φ = 1770145920.

The previous prime is 5340503633. The next prime is 5340503677. The reversal of 5340503664 is 4663050435.

5340503664 is a `hidden beast` number, since 53 + 40 + 503 + 6 + 64 = 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 19 ways as a sum of consecutive naturals, for example, 220474 + ... + 243494.

Almost surely, 25340503664 is an apocalyptic number.

5340503664 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 5340503664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771996980).

5340503664 is an abundant number, since it is smaller than the sum of its proper divisors (10203490296).

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

5340503664 is a wasteful number, since it uses less digits than its factorization.

5340503664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23220 (or 23205 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5340503664 is about 73078.7497429998. The cubic root of 5340503664 is about 1747.9435614437.

The spelling of 5340503664 in words is "five billion, three hundred forty million, five hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 179 216 324 358 432 537 648 716 1074 1296 1432 1611 2148 2864 3222 4296 4833 6444 8592 9666 12888 14499 19332 23021 25776 28998 38664 46042 57996 69063 77328 92084 115992 138126 184168 207189 231984 276252 368336 414378 552504 621567 828756 1105008 1243134 1657512 1864701 2486268 3315024 3729402 4120759 4972536 7458804 8241518 9945072 12362277 14917608 16483036 24724554 29835216 32966072 37086831 49449108 65932144 74173662 98898216 111260493 148347324 197796432 222520986 296694648 333781479 445041972 593389296 667562958 890083944 1335125916 1780167888 2670251832 5340503664