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2121133776 = 243295328751
BaseRepresentation
bin111111001101101…
…1110111011010000
312110211021202112020
41332123132323100
513321002240101
6550251131440
7103364224326
oct17633367320
95424252466
102121133776
11999363223
124b2443b80
1327a5aa358
141619cbd16
15c633e136
hex7e6deed0

2121133776 has 80 divisors (see below), whose sum is σ = 5775701760. Its totient is φ = 669760000.

The previous prime is 2121133757. The next prime is 2121133789. The reversal of 2121133776 is 6773311212.

It is a congruent number.

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, 59401 + ... + 88151.

It is an arithmetic number, because the mean of its divisors is an integer number (72196272).

Almost surely, 22121133776 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 2121133776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887850880).

2121133776 is an abundant number, since it is smaller than the sum of its proper divisors (3654567984).

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

2121133776 is a wasteful number, since it uses less digits than its factorization.

2121133776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28844 (or 28838 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 2121133776 is about 46055.7681078060. The cubic root of 2121133776 is about 1284.8606239038.

Adding to 2121133776 its reverse (6773311212), we get a palindrome (8894444988).

The spelling of 2121133776 in words is "two billion, one hundred twenty-one million, one hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 106 116 159 174 212 232 318 348 424 464 636 696 848 1272 1392 1537 2544 3074 4611 6148 9222 12296 18444 24592 28751 36888 57502 73776 86253 115004 172506 230008 345012 460016 690024 833779 1380048 1523803 1667558 2501337 3047606 3335116 4571409 5002674 6095212 6670232 9142818 10005348 12190424 13340464 18285636 20010696 24380848 36571272 40021392 44190287 73142544 88380574 132570861 176761148 265141722 353522296 530283444 707044592 1060566888 2121133776