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5346261660 = 2235177173823
BaseRepresentation
bin1001111101010100…
…10111101010011100
3111210120221020021010
410332222113222130
541422120333120
62242300535220
7246325321455
oct47652275234
914716836233
105346261660
1122a3909573
121052551510
1367280634c
1438a07812c
152145527e0
hex13ea97a9c

5346261660 has 96 divisors (see below), whose sum is σ = 16073551872. Its totient is φ = 1322890240.

The previous prime is 5346261647. The next prime is 5346261673. The reversal of 5346261660 is 661626435.

It is an interprime number because it is at equal distance from previous prime (5346261647) and next prime (5346261673).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35509 + ... + 109331.

It is an arithmetic number, because the mean of its divisors is an integer number (167432832).

Almost surely, 25346261660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346261660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036775936).

5346261660 is an abundant number, since it is smaller than the sum of its proper divisors (10727290212).

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

5346261660 is a wasteful number, since it uses less digits than its factorization.

5346261660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73923 (or 73921 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 5346261660 is about 73118.1349598032. The cubic root of 5346261660 is about 1748.5715319924.

The spelling of 5346261660 in words is "five billion, three hundred forty-six million, two hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 71 85 102 142 170 204 213 255 284 340 355 426 510 710 852 1020 1065 1207 1420 2130 2414 3621 4260 4828 6035 7242 12070 14484 18105 24140 36210 72420 73823 147646 221469 295292 369115 442938 738230 885876 1107345 1254991 1476460 2214690 2509982 3764973 4429380 5019964 5241433 6274955 7529946 10482866 12549910 15059892 15724299 18824865 20965732 25099820 26207165 31448598 37649730 52414330 62897196 75299460 78621495 89104361 104828660 157242990 178208722 267313083 314485980 356417444 445521805 534626166 891043610 1069252332 1336565415 1782087220 2673130830 5346261660