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1081628964 = 2237139511
BaseRepresentation
bin100000001111000…
…0101100100100100
32210101021110000000
41000132011210210
54203344111324
6255155021300
735542460133
oct10036054444
92711243000
101081628964
11505607939
1226229a830
1314311ab50
14a391991a
1564e579c9
hex40785924

1081628964 has 96 divisors (see below), whose sum is σ = 3057537280. Its totient is φ = 332773920.

The previous prime is 1081628963. The next prime is 1081628983. The reversal of 1081628964 is 4698261801.

1081628964 is a `hidden beast` number, since 10 + 8 + 1 + 628 + 9 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1081628963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108969 + ... + 118479.

Almost surely, 21081628964 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 1081628964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528768640).

1081628964 is an abundant number, since it is smaller than the sum of its proper divisors (1975908316).

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

1081628964 is an equidigital number, since it uses as much as digits as its factorization.

1081628964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1081628964 is about 32888.1280099674. The cubic root of 1081628964 is about 1026.5011402244.

The spelling of 1081628964 in words is "one billion, eighty-one million, six hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2187 2916 3159 4212 4374 6318 8748 9477 9511 12636 18954 19022 28431 28533 37908 38044 56862 57066 85599 113724 114132 123643 171198 247286 256797 342396 370929 494572 513594 741858 770391 1027188 1112787 1483716 1540782 2225574 2311173 3081564 3338361 4451148 4622346 6676722 6933519 9244692 10015083 13353444 13867038 20030166 20800557 27734076 30045249 40060332 41601114 60090498 83202228 90135747 120180996 180271494 270407241 360542988 540814482 1081628964