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1081883664 = 243227412
BaseRepresentation
bin100000001111100…
…0011110000010000
32210101202101101100
41000133003300100
54203430234124
6255204304400
735544600531
oct10037036020
92711671340
101081883664
11505771234
122623a2100
131431a9a64
14a3984688
1564ea81c9
hex407c3c10

1081883664 has 45 divisors (see below), whose sum is σ = 3028876669. Its totient is φ = 360496320.

The previous prime is 1081883659. The next prime is 1081883711. The reversal of 1081883664 is 4663881801.

It is a happy number.

The square root of 1081883664 is 32892.

It is a perfect power (a square), and thus also a powerful number.

1081883664 is a `hidden beast` number, since 108 + 188 + 366 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320123664 + 761760000 = 17892^2 + 27600^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 393334 + ... + 396074.

Almost surely, 21081883664 is an apocalyptic number.

1081883664 is the 32892-nd square number.

It is an amenable number.

1081883664 is an abundant number, since it is smaller than the sum of its proper divisors (1946993005).

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

1081883664 is an frugal number, since it uses more digits than its factorization.

1081883664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The cubic root of 1081883664 is about 1026.5817067680.

The spelling of 1081883664 in words is "one billion, eighty-one million, eight hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2741 5482 8223 10964 16446 21928 24669 32892 43856 49338 65784 98676 131568 197352 394704 7513081 15026162 22539243 30052324 45078486 60104648 67617729 90156972 120209296 135235458 180313944 270470916 360627888 540941832 1081883664