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2096177152 = 21341792
BaseRepresentation
bin111110011110001…
…0010000000000000
312102002022211110211
41330330102000000
513243110132102
6544000203504
7102642132436
oct17474220000
95362284424
102096177152
11986267a13
124a6009594
1327537cb14
1415c572d56
15c405e7d7
hex7cf12000

2096177152 has 84 divisors (see below), whose sum is σ = 4349391606. Its totient is φ = 1009582080.

The previous prime is 2096177137. The next prime is 2096177177. The reversal of 2096177152 is 2517716902.

It can be written as a sum of positive squares in only one way, i.e., 2070614016 + 25563136 = 45504^2 + 5056^2 .

It is a super-2 number, since 2×20961771522 = 8787917305133662208, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 26533849 + ... + 26533927.

Almost surely, 22096177152 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 2096177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174695803).

2096177152 is an abundant number, since it is smaller than the sum of its proper divisors (2253214454).

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

2096177152 is an frugal number, since it uses more digits than its factorization.

2096177152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 2096177152 is about 45784.0272584228. The cubic root of 2096177152 is about 1279.8016359274.

The spelling of 2096177152 in words is "two billion, ninety-six million, one hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 256 316 328 512 632 656 1024 1264 1312 2048 2528 2624 3239 4096 5056 5248 6241 6478 8192 10112 10496 12482 12956 20224 20992 24964 25912 40448 41984 49928 51824 80896 83968 99856 103648 161792 167936 199712 207296 255881 323584 335872 399424 414592 511762 647168 798848 829184 1023524 1597696 1658368 2047048 3195392 3316736 4094096 6390784 6633472 8188192 12781568 13266944 16376384 25563136 26533888 32752768 51126272 65505536 131011072 262022144 524044288 1048088576 2096177152