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2158578816 = 273371391093
BaseRepresentation
bin1000000010101001…
…0100110010000000
312120102202011110120
42000222110302000
513410044010231
6554105500240
7104330421462
oct20052246200
95512664416
102158578816
11a08509239
12502aa1680
1328528ac94
14166978132
15c9788d96
hex80a94c80

2158578816 has 128 divisors (see below), whose sum is σ = 5936481600. Its totient is φ = 694407168.

The previous prime is 2158578811. The next prime is 2158578827. The reversal of 2158578816 is 6188758512.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2158578811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974366 + ... + 1975458.

Almost surely, 22158578816 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 2158578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968240800).

2158578816 is an abundant number, since it is smaller than the sum of its proper divisors (3777902784).

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

2158578816 is a wasteful number, since it uses less digits than its factorization.

2158578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1274 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 51.

The square root of 2158578816 is about 46460.5081332523. The cubic root of 2158578816 is about 1292.3772473639.

The spelling of 2158578816 in words is "two billion, one hundred fifty-eight million, five hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 139 148 192 222 278 296 384 417 444 556 592 834 888 1093 1112 1184 1668 1776 2186 2224 2368 3279 3336 3552 4372 4448 4736 5143 6558 6672 7104 8744 8896 10286 13116 13344 14208 15429 17488 17792 20572 26232 26688 30858 34976 40441 41144 52464 53376 61716 69952 80882 82288 104928 121323 123432 139904 151927 161764 164576 209856 242646 246864 303854 323528 329152 419712 455781 485292 493728 607708 647056 658304 911562 970584 987456 1215416 1294112 1823124 1941168 1974912 2430832 2588224 3646248 3882336 4861664 5176448 5621299 7292496 7764672 9723328 11242598 14584992 15529344 16863897 19446656 22485196 29169984 33727794 44970392 58339968 67455588 89940784 134911176 179881568 269822352 359763136 539644704 719526272 1079289408 2158578816