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2159021952 = 2735411693
BaseRepresentation
bin1000000010110000…
…0000111110000000
312120110120200100000
42000230000332000
513410202200302
6554123200000
7104334245433
oct20054007600
95513520300
102159021952
11a0879116a
12503076000
132853b48a9
14166a5181a
15c982531c
hex80b00f80

2159021952 has 192 divisors, whose sum is σ = 6603957360. Its totient is φ = 701706240.

The previous prime is 2159021933. The next prime is 2159022007. The reversal of 2159021952 is 2591209512.

It is a happy number.

2159021952 is a `hidden beast` number, since 2 + 1 + 590 + 2 + 19 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×21590219522 = 9322751578435780608, which contains 22 as substring.

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

It is a congruent number.

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, 1274418 + ... + 1276110.

Almost surely, 22159021952 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 2159021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301978680).

2159021952 is an abundant number, since it is smaller than the sum of its proper divisors (4444935408).

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

2159021952 is an equidigital number, since it uses as much as digits as its factorization.

2159021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2159021952 is about 46465.2768419602. The cubic root of 2159021952 is about 1292.4656789583.

The spelling of 2159021952 in words is "two billion, one hundred fifty-nine million, twenty-one thousand, nine hundred fifty-two".