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5324106816 = 263271638101
BaseRepresentation
bin1001111010101011…
…10110110001000000
3111202001020122112100
410331111312301000
541400432404231
62240150030400
7245636106210
oct47525666100
914661218470
105324106816
112292357286
121047048400
1366b04a182
1438714c240
152126281e6
hex13d576c40

5324106816 has 168 divisors, whose sum is σ = 17549839424. Its totient is φ = 1511654400.

The previous prime is 5324106787. The next prime is 5324106857. The reversal of 5324106816 is 6186014235.

It is a happy number.

5324106816 is a `hidden beast` number, since 532 + 4 + 106 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×53241068162 = 56692226776355315712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653166 + ... + 661266.

Almost surely, 25324106816 is an apocalyptic number.

5324106816 is a gapful number since it is divisible by the number (56) 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 5324106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774919712).

5324106816 is an abundant number, since it is smaller than the sum of its proper divisors (12225732608).

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

5324106816 is a wasteful number, since it uses less digits than its factorization.

5324106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5324106816 is about 72966.4773440516. The cubic root of 5324106816 is about 1746.1528347612.

The spelling of 5324106816 in words is "five billion, three hundred twenty-four million, one hundred six thousand, eight hundred sixteen".