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1011044916 = 22347461967
BaseRepresentation
bin111100010000110…
…101001000110100
32121110110101220000
4330100311020310
54032311414131
6244154111300
734024511550
oct7420651064
92543411800
101011044916
11479788012
1224271b530
1313160653b
14983c4860
155db63ce6
hex3c435234

1011044916 has 120 divisors (see below), whose sum is σ = 3030335616. Its totient is φ = 287945280.

The previous prime is 1011044911. The next prime is 1011044917. The reversal of 1011044916 is 6194401101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1011044916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011044911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1045065 + ... + 1046031.

Almost surely, 21011044916 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 1011044916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515167808).

1011044916 is an abundant number, since it is smaller than the sum of its proper divisors (2019290700).

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

1011044916 is a wasteful number, since it uses less digits than its factorization.

1011044916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1011044916 is about 31796.9324935598. The cubic root of 1011044916 is about 1003.6681667670.

The spelling of 1011044916 in words is "one billion, eleven million, forty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 461 567 756 922 967 1134 1383 1844 1934 2268 2766 2901 3227 3868 4149 5532 5802 6454 6769 8298 8703 9681 11604 12447 12908 13538 16596 17406 19362 20307 24894 26109 27076 29043 34812 37341 38724 40614 49788 52218 58086 60921 74682 78327 81228 87129 104436 116172 121842 149364 156654 174258 182763 243684 261387 313308 348516 365526 445787 522774 548289 731052 891574 1045548 1096578 1337361 1783148 2193156 2674722 3120509 4012083 5349444 6241018 8024166 9361527 12036249 12482036 16048332 18723054 24072498 28084581 36108747 37446108 48144996 56169162 72217494 84253743 112338324 144434988 168507486 252761229 337014972 505522458 1011044916