Search a number
-
+
2077125648 = 243137345599
BaseRepresentation
bin111101111001110…
…0110110000010000
312100202110220201120
41323303212300100
513223221010043
6542040002240
7102321163623
oct17363466020
95322426646
102077125648
11976535274
1249b760380
1327143c340
14159c13dba
15c2549983
hex7bce6c10

2077125648 has 80 divisors (see below), whose sum is σ = 5857958400. Its totient is φ = 630346752.

The previous prime is 2077125613. The next prime is 2077125689. The reversal of 2077125648 is 8465217702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22753 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (73224480).

Almost surely, 22077125648 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 2077125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928979200).

2077125648 is an abundant number, since it is smaller than the sum of its proper divisors (3780832752).

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

2077125648 is a wasteful number, since it uses less digits than its factorization.

2077125648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45696 (or 45690 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 2077125648 is about 45575.4939413716. The cubic root of 2077125648 is about 1275.9125898659.

The spelling of 2077125648 in words is "two billion, seventy-seven million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1752 1898 2847 3504 3796 5694 7592 11388 15184 22776 45552 45599 91198 136797 182396 273594 364792 547188 592787 729584 1094376 1185574 1778361 2188752 2371148 3328727 3556722 4742296 6657454 7113444 9484592 9986181 13314908 14226888 19972362 26629816 28453776 39944724 43273451 53259632 79889448 86546902 129820353 159778896 173093804 259640706 346187608 519281412 692375216 1038562824 2077125648