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2164452346452 = 22311971011673713
BaseRepresentation
bin11111011111110011011…
…010011100101001010100
321122220211101221122002110
4133133303122130221110
5240430244300041302
64334200301311020
7312243101246124
oct37376332345124
97586741848073
102164452346452
11764a36a16810
122ab59a865470
13129151061406
1476a8d826c84
153b480793b6c
hex1f7f369ca54

2164452346452 has 96 divisors (see below), whose sum is σ = 5621429568384. Its totient is φ = 642705408000.

The previous prime is 2164452346429. The next prime is 2164452346499. The reversal of 2164452346452 is 2546432544612.

It is a happy number.

It is a congruent number.

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, 456348 + ... + 2130060.

It is an arithmetic number, because the mean of its divisors is an integer number (58556558004).

Almost surely, 22164452346452 is an apocalyptic number.

2164452346452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164452346452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810714784192).

2164452346452 is an abundant number, since it is smaller than the sum of its proper divisors (3456977221932).

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

2164452346452 is a wasteful number, since it uses less digits than its factorization.

2164452346452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673929 (or 1673927 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 2164452346452 in words is "two trillion, one hundred sixty-four billion, four hundred fifty-two million, three hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 101 132 194 202 291 303 388 404 582 606 1067 1111 1164 1212 2134 2222 3201 3333 4268 4444 6402 6666 9797 12804 13332 19594 29391 39188 58782 107767 117564 215534 323301 431068 646602 1293204 1673713 3347426 5021139 6694852 10042278 18410843 20084556 36821686 55232529 73643372 110465058 162350161 169045013 220930116 324700322 338090026 487050483 507135039 649400644 676180052 974100966 1014270078 1785851771 1859495143 1948201932 2028540156 3571703542 3718990286 5357555313 5578485429 7143407084 7437980572 10715110626 11156970858 16397366261 21430221252 22313941716 32794732522 49192098783 65589465044 98384197566 180371028871 196768395132 360742057742 541113086613 721484115484 1082226173226 2164452346452