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2155203968 = 27173372939
BaseRepresentation
bin1000000001110101…
…1100110110000000
312120012101201001012
42000131130312000
513403213011333
6553505300052
7104256634331
oct20035346600
95505351035
102155203968
11a06613705
12501934628
13284678b28
1416633a288
15c931de48
hex8075cd80

2155203968 has 64 divisors (see below), whose sum is σ = 4561174800. Its totient is φ = 1010860032.

The previous prime is 2155203961. The next prime is 2155204001. The reversal of 2155203968 is 8693025512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155203961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731843 + ... + 734781.

Almost surely, 22155203968 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 2155203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280587400).

2155203968 is an abundant number, since it is smaller than the sum of its proper divisors (2405970832).

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

2155203968 is a wasteful number, since it uses less digits than its factorization.

2155203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 2155203968 is about 46424.1743922280. The cubic root of 2155203968 is about 1291.7033700640.

The spelling of 2155203968 in words is "two billion, one hundred fifty-five million, two hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 337 544 674 1088 1348 2176 2696 2939 5392 5729 5878 10784 11458 11756 21568 22916 23512 43136 45832 47024 49963 91664 94048 99926 183328 188096 199852 366656 376192 399704 733312 799408 990443 1598816 1980886 3197632 3961772 6395264 7923544 15847088 16837531 31694176 33675062 63388352 67350124 126776704 134700248 269400496 538800992 1077601984 2155203968