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5165347968 = 27351131487
BaseRepresentation
bin1001100111110000…
…01111010010000000
3111022222111212100000
410303320033102000
541034312113333
62212315200000
7242000506344
oct46370172200
914288455300
105165347968
112210782420
121001a46000
136441a2621
14370023624
15203718713
hex133e0f480

5165347968 has 384 divisors, whose sum is σ = 17393725440. Its totient is φ = 1511654400.

The previous prime is 5165347951. The next prime is 5165347991. The reversal of 5165347968 is 8697435615.

5165347968 is a `hidden beast` number, since 5 + 16 + 534 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606221 + ... + 10606707.

It is an arithmetic number, because the mean of its divisors is an integer number (45296160).

Almost surely, 25165347968 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 5165347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696862720).

5165347968 is an abundant number, since it is smaller than the sum of its proper divisors (12228377472).

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

5165347968 is a wasteful number, since it uses less digits than its factorization.

5165347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 534 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5165347968 is about 71870.3552794892. The cubic root of 5165347968 is about 1728.6213043603.

The spelling of 5165347968 in words is "five billion, one hundred sixty-five million, three hundred forty-seven thousand, nine hundred sixty-eight".