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2077985344 = 26178323011
BaseRepresentation
bin111101111011011…
…1000101001000000
312100211002121000011
41323312320221000
513223431012334
6542110234304
7102331404211
oct17366705100
95324077004
102077985344
11976a72166
1249bab5994
13271680736
14159d99408
15c2669564
hex7bdb8a40

2077985344 has 56 divisors (see below), whose sum is σ = 4418856288. Its totient is φ = 966051840.

The previous prime is 2077985341. The next prime is 2077985359. The reversal of 2077985344 is 4435897702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2077985341) 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, 78799 + ... + 101809.

It is an arithmetic number, because the mean of its divisors is an integer number (78908148).

Almost surely, 22077985344 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 2077985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209428144).

2077985344 is an abundant number, since it is smaller than the sum of its proper divisors (2340870944).

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

2077985344 is a wasteful number, since it uses less digits than its factorization.

2077985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23113 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The square root of 2077985344 is about 45584.9245255490. The cubic root of 2077985344 is about 1276.0885936070.

The spelling of 2077985344 in words is "two billion, seventy-seven million, nine hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 83 136 166 272 332 544 664 1088 1328 1411 2656 2822 5312 5644 11288 22576 23011 45152 46022 90304 92044 184088 368176 391187 736352 782374 1472704 1564748 1909913 3129496 3819826 6258992 7639652 12517984 15279304 25035968 30558608 32468521 61117216 64937042 122234432 129874084 259748168 519496336 1038992672 2077985344