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2141076352 = 2747479743
BaseRepresentation
bin111111110011110…
…0011101110000000
312112012210221121011
41333213203232000
513341103420402
6552242410304
7104025564052
oct17747435600
95465727534
102141076352
119a9644398
124b9060994
132817705ac
141644dd8d2
15c7e7ced7
hex7f9e3b80

2141076352 has 64 divisors (see below), whose sum is σ = 4371148800. Its totient is φ = 1044166144.

The previous prime is 2141076337. The next prime is 2141076397. The reversal of 2141076352 is 2536701412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2881293 + ... + 2882035.

It is an arithmetic number, because the mean of its divisors is an integer number (68299200).

Almost surely, 22141076352 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 2141076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

2141076352 is an abundant number, since it is smaller than the sum of its proper divisors (2230072448).

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

2141076352 is an equidigital number, since it uses as much as digits as its factorization.

2141076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2141076352 is about 46271.7662511385. The cubic root of 2141076352 is about 1288.8747577964.

Adding to 2141076352 its reverse (2536701412), we get a palindrome (4677777764).

The spelling of 2141076352 in words is "two billion, one hundred forty-one million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 479 743 752 958 1486 1504 1916 2972 3008 3832 5944 6016 7664 11888 15328 22513 23776 30656 34921 45026 47552 61312 69842 90052 95104 139684 180104 279368 355897 360208 558736 711794 720416 1117472 1423588 1440832 2234944 2847176 2881664 4469888 5694352 11388704 16727159 22777408 33454318 45554816 66908636 133817272 267634544 535269088 1070538176 2141076352