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2150995104 = 25327468733
BaseRepresentation
bin1000000000110101…
…1001010010100000
312112220110212120100
42000031121102200
513401123320404
6553235142400
7104206104516
oct20015312240
95486425510
102150995104
11a041a9505
12500444a00
1328383418b
141659624b6
15c8c8bd39
hex803594a0

2150995104 has 36 divisors (see below), whose sum is σ = 6116893146. Its totient is φ = 716998272.

The previous prime is 2150995103. The next prime is 2150995117. The reversal of 2150995104 is 4015990512.

2150995104 is a `hidden beast` number, since 2 + 1 + 50 + 99 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1748912400 + 402082704 = 41820^2 + 20052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (2150995103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3734079 + ... + 3734654.

Almost surely, 22150995104 is an apocalyptic number.

2150995104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2150995104 is an abundant number, since it is smaller than the sum of its proper divisors (3965898042).

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

2150995104 is a wasteful number, since it uses less digits than its factorization.

2150995104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7468749 (or 7468738 counting only the distinct ones).

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

The square root of 2150995104 is about 46378.8217185387. The cubic root of 2150995104 is about 1290.8619730303.

The spelling of 2150995104 in words is "two billion, one hundred fifty million, nine hundred ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7468733 14937466 22406199 29874932 44812398 59749864 67218597 89624796 119499728 134437194 179249592 238999456 268874388 358499184 537748776 716998368 1075497552 2150995104