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1021316664 = 233298231783
BaseRepresentation
bin111100111000000…
…000111000111000
32122011210021002010
4330320000320320
54042424113124
6245202205520
734211022414
oct7470007070
92564707063
101021316664
11484563365
122460538a0
131337919b4
14998d9d44
155e9e2529
hex3ce00e38

1021316664 has 64 divisors (see below), whose sum is σ = 2646028800. Its totient is φ = 328116096.

The previous prime is 1021316651. The next prime is 1021316687. The reversal of 1021316664 is 4666131201.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 571917 + ... + 573699.

It is an arithmetic number, because the mean of its divisors is an integer number (41344200).

Almost surely, 21021316664 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 1021316664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323014400).

1021316664 is an abundant number, since it is smaller than the sum of its proper divisors (1624712136).

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

1021316664 is a wasteful number, since it uses less digits than its factorization.

1021316664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1021316664 is about 31958.0453720186. The cubic root of 1021316664 is about 1007.0556553126.

Adding to 1021316664 its reverse (4666131201), we get a palindrome (5687447865).

The spelling of 1021316664 in words is "one billion, twenty-one million, three hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 823 1646 1783 2469 3292 3566 4938 5349 6584 7132 9876 10698 14264 19752 21396 23867 42792 47734 51707 71601 95468 103414 143202 155121 190936 206828 286404 310242 413656 572808 620484 1240968 1467409 2934818 4402227 5869636 8804454 11739272 17608908 35217816 42554861 85109722 127664583 170219444 255329166 340438888 510658332 1021316664