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2141980962 = 23113614397
BaseRepresentation
bin111111110101100…
…0000100100100010
312112021111220111020
41333223000210202
513341321342322
6552314030310
7104036352312
oct17753004442
95467456436
102141980962
119aa102000
124b9418396
132819c9274
14164697442
15c80ab05c
hex7fac0922

2141980962 has 64 divisors (see below), whose sum is σ = 4790371968. Its totient is φ = 638299200.

The previous prime is 2141980937. The next prime is 2141981003. The reversal of 2141980962 is 2690891412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484948 + ... + 489344.

It is an arithmetic number, because the mean of its divisors is an integer number (74849562).

Almost surely, 22141980962 is an apocalyptic number.

2141980962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141980962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395185984).

2141980962 is an abundant number, since it is smaller than the sum of its proper divisors (2648391006).

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

2141980962 is a wasteful number, since it uses less digits than its factorization.

2141980962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2141980962 is about 46281.5401861260. The cubic root of 2141980962 is about 1289.0562498186.

The spelling of 2141980962 in words is "two billion, one hundred forty-one million, nine hundred eighty thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1331 1342 2013 2662 3993 4026 4397 7381 7986 8794 13191 14762 22143 26382 44286 48367 81191 96734 145101 162382 243573 268217 290202 487146 532037 536434 804651 1064074 1596111 1609302 2950387 3192222 5852407 5900774 8851161 11704814 17557221 17702322 32454257 35114442 64908514 97362771 194725542 356996827 713993654 1070990481 2141980962