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5352146064 = 243353233759
BaseRepresentation
bin1001111110000001…
…10100010010010000
3111211000000012011000
410333000310102100
541430122133224
62243031022000
7246426330246
oct47700642220
914730005130
105352146064
1122a7168611
12105450a900
13673ab6845
1438ab6a796
15214d160c9
hex13f034490

5352146064 has 80 divisors (see below), whose sum is σ = 15652569600. Its totient is φ = 1750379904.

The previous prime is 5352146053. The next prime is 5352146077. The reversal of 5352146064 is 4606412535.

5352146064 is a `hidden beast` number, since 5 + 35 + 2 + 14 + 606 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93984 + ... + 139775.

It is an arithmetic number, because the mean of its divisors is an integer number (195657120).

Almost surely, 25352146064 is an apocalyptic number.

5352146064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5352146064 is an abundant number, since it is smaller than the sum of its proper divisors (10300423536).

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

5352146064 is a wasteful number, since it uses less digits than its factorization.

5352146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233829 (or 233817 counting only the distinct ones).

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

The square root of 5352146064 is about 73158.3629122467. The cubic root of 5352146064 is about 1749.2128230027.

Adding to 5352146064 its reverse (4606412535), we get a palindrome (9958558599).

The spelling of 5352146064 in words is "five billion, three hundred fifty-two million, one hundred forty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 233759 467518 701277 935036 1402554 1870072 2103831 2805108 3740144 4207662 5610216 6311493 8415324 11220432 12389227 12622986 16830648 24778454 25245972 33661296 37167681 49556908 50491944 74335362 99113816 100983888 111503043 148670724 198227632 223006086 297341448 334509129 446012172 594682896 669018258 892024344 1338036516 1784048688 2676073032 5352146064