Search a number
-
+
2121055992 = 2332112678101
BaseRepresentation
bin111111001101100…
…1011111011111000
312110211010210211100
41332123023323320
513320442242432
6550245331400
7103363451466
oct17633137370
95424123740
102121055992
1199930a840
124b2406b60
1327a580b23
141619ab836
15c632607c
hex7e6cbef8

2121055992 has 48 divisors (see below), whose sum is σ = 6266758680. Its totient is φ = 642744000.

The previous prime is 2121055973. The next prime is 2121056009. The reversal of 2121055992 is 2995501212.

It is a happy number.

2121055992 is a `hidden beast` number, since 2 + 1 + 2 + 10 + 559 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338259 + ... + 1339842.

Almost surely, 22121055992 is an apocalyptic number.

2121055992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2121055992 is an abundant number, since it is smaller than the sum of its proper divisors (4145702688).

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

2121055992 is a wasteful number, since it uses less digits than its factorization.

2121055992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678124 (or 2678117 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2121055992 is about 46054.9236455778. The cubic root of 2121055992 is about 1284.8449180234.

The spelling of 2121055992 in words is "two billion, one hundred twenty-one million, fifty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2678101 5356202 8034303 10712404 16068606 21424808 24102909 29459111 32137212 48205818 58918222 64274424 88377333 96411636 117836444 176754666 192823272 235672888 265131999 353509332 530263998 707018664 1060527996 2121055992