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2151051616 = 25717678431
BaseRepresentation
bin1000000000110110…
…0111000101100000
312112220120202002101
42000031213011200
513401132122431
6553240300144
7104206431340
oct20015470540
95486522071
102151051616
11a04237a0a
12500471654
13283853b0c
14165978d20
15c8c9d961
hex80367160

2151051616 has 96 divisors (see below), whose sum is σ = 5201667072. Its totient is φ = 854599680.

The previous prime is 2151051613. The next prime is 2151051619. The reversal of 2151051616 is 6161501512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2151051613) and next prime (2151051619).

It is a super-2 number, since 2×21510516162 = 9254046109392422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151051611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250921 + ... + 259351.

It is an arithmetic number, because the mean of its divisors is an integer number (54184032).

Almost surely, 22151051616 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 2151051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600833536).

2151051616 is an abundant number, since it is smaller than the sum of its proper divisors (3050615456).

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

2151051616 is a wasteful number, since it uses less digits than its factorization.

2151051616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8524 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 2151051616 is about 46379.4309581306. The cubic root of 2151051616 is about 1290.8732776513.

The spelling of 2151051616 in words is "two billion, one hundred fifty-one million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 67 68 112 119 134 136 224 238 268 272 469 476 536 544 938 952 1072 1139 1876 1904 2144 2278 3752 3808 4556 7504 7973 8431 9112 15008 15946 16862 18224 31892 33724 36448 59017 63784 67448 118034 127568 134896 143327 236068 255136 269792 286654 472136 564877 573308 944272 1003289 1129754 1146616 1888544 2006578 2259508 2293232 3954139 4013156 4519016 4586464 7908278 8026312 9038032 9602909 15816556 16052624 18076064 19205818 31633112 32105248 38411636 63266224 67220363 76823272 126532448 134440726 153646544 268881452 307293088 537762904 1075525808 2151051616