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1001055996 = 2235432557
BaseRepresentation
bin111011101010101…
…110011011111100
32120202122220200000
4323222232123330
54022232242441
6243200034300
733543556413
oct7352563374
92522586600
101001055996
11474085206
1223b302990
1312c519a35
1496d4447a
155cd3e2b6
hex3baae6fc

1001055996 has 108 divisors (see below), whose sum is σ = 2691437112. Its totient is φ = 325340064.

The previous prime is 1001055989. The next prime is 1001056087. The reversal of 1001055996 is 6995501001.

1001055996 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 559 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×10010559962 = 2004226214255104032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1001055996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1796950 + ... + 1797506.

It is an arithmetic number, because the mean of its divisors is an integer number (24920714).

Almost surely, 21001055996 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 1001055996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345718556).

1001055996 is an abundant number, since it is smaller than the sum of its proper divisors (1690381116).

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

1001055996 is an equidigital number, since it uses as much as digits as its factorization.

1001055996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 1001055996 is about 31639.4689588811. The cubic root of 1001055996 is about 1000.3518748362.

Adding to 1001055996 its reverse (6995501001), we get a palindrome (7996556997).

The spelling of 1001055996 in words is "one billion, one million, fifty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 557 774 972 1114 1161 1548 1671 1849 2228 2322 3342 3483 3698 4644 5013 5547 6684 6966 7396 10026 10449 11094 13932 15039 16641 20052 20898 22188 23951 30078 33282 41796 45117 47902 49923 60156 66564 71853 90234 95804 99846 135351 143706 149769 180468 199692 215559 270702 287412 299538 431118 449307 541404 599076 646677 862236 898614 1029893 1293354 1797228 1940031 2059786 2586708 3089679 3880062 4119572 5820093 6179358 7760124 9269037 11640186 12358716 18538074 23280372 27807111 37076148 55614222 83421333 111228444 166842666 250263999 333685332 500527998 1001055996