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2122686496 = 2576722111
BaseRepresentation
bin111111010000101…
…1010000000100000
312110221012122110101
41332201122000200
513321401431441
6550344312144
7103413352240
oct17641320040
95427178411
102122686496
1199a223867
124b2a72654
1327aa02018
14161cb3b20
15c6549231
hex7e85a020

2122686496 has 72 divisors (see below), whose sum is σ = 4850689536. Its totient is φ = 895720320.

The previous prime is 2122686493. The next prime is 2122686541. The reversal of 2122686496 is 6946862212.

It is not an unprimeable number, because it can be changed into a prime (2122686493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004481 + ... + 1006591.

It is an arithmetic number, because the mean of its divisors is an integer number (67370688).

Almost surely, 22122686496 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 2122686496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425344768).

2122686496 is an abundant number, since it is smaller than the sum of its proper divisors (2728003040).

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

2122686496 is an equidigital number, since it uses as much as digits as its factorization.

2122686496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2187 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 2122686496 is about 46072.6219787848. The cubic root of 2122686496 is about 1285.1740635378.

The spelling of 2122686496 in words is "two billion, one hundred twenty-two million, six hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2111 2144 3752 4222 4489 7504 8444 8978 14777 15008 16888 17956 29554 31423 33776 35912 59108 62846 67552 71824 118216 125692 141437 143648 236432 251384 282874 472864 502768 565748 990059 1005536 1131496 1980118 2262992 3960236 4525984 7920472 9476279 15840944 18952558 31681888 37905116 66333953 75810232 132667906 151620464 265335812 303240928 530671624 1061343248 2122686496