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5134868964 = 223613272
BaseRepresentation
bin1001100100000111…
…11110000111100100
3111020212011101000000
410302003332013210
541004011301324
62205310021300
7241150444311
oct46203760744
914225141000
105134868964
1121a5555065
12bb37a7830
1363aa90604
14369d6bd08
15200be79c9
hex1320fe1e4

5134868964 has 63 divisors (see below), whose sum is σ = 13483028307. Its totient is φ = 1710333144.

The previous prime is 5134868929. The next prime is 5134868969. The reversal of 5134868964 is 4698684315.

The square root of 5134868964 is 71658.

It is a perfect power (a square), and thus also a powerful number.

5134868964 is a `hidden beast` number, since 513 + 4 + 8 + 68 + 9 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5134868964.

It is not an unprimeable number, because it can be changed into a prime (5134868969) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3868869 + ... + 3870195.

Almost surely, 25134868964 is an apocalyptic number.

5134868964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5134868964 is the 71658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134868964

5134868964 is an abundant number, since it is smaller than the sum of its proper divisors (8348159343).

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

5134868964 is an frugal number, since it uses more digits than its factorization.

5134868964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 1332 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The cubic root of 5134868964 is about 1725.2145880492.

The spelling of 5134868964 in words is "five billion, one hundred thirty-four million, eight hundred sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1327 1458 2654 2916 3981 5308 7962 11943 15924 23886 35829 47772 71658 107487 143316 214974 322461 429948 644922 967383 1289844 1760929 1934766 3521858 3869532 5282787 7043716 10565574 15848361 21131148 31696722 47545083 63393444 95090166 142635249 190180332 285270498 427905747 570540996 855811494 1283717241 1711622988 2567434482 5134868964