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1056043656 = 23345397317
BaseRepresentation
bin111110111100011…
…111001010001000
32201121010120120000
4332330133022020
54130321344111
6252442403000
735112136323
oct7674371210
92647116500
101056043656
114a2122258
12255800460
1313aa30405
14a03797ba
1562aa1c56
hex3ef1f288

1056043656 has 160 divisors (see below), whose sum is σ = 3054383640. Its totient is φ = 340733952.

The previous prime is 1056043633. The next prime is 1056043657. The reversal of 1056043656 is 6563406501.

1056043656 is a `hidden beast` number, since 1 + 0 + 560 + 43 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 741690756 + 314352900 = 27234^2 + 17730^2 .

It is a super-2 number, since 2×10560436562 = 2230456406755692672, 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 1056043656.

It is not an unprimeable number, because it can be changed into a prime (1056043657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3331210 + ... + 3331526.

Almost surely, 21056043656 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 1056043656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527191820).

1056043656 is an abundant number, since it is smaller than the sum of its proper divisors (1998339984).

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

1056043656 is a wasteful number, since it uses less digits than its factorization.

1056043656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1056043656 is about 32496.8253218680. The cubic root of 1056043656 is about 1018.3427066162.

The spelling of 1056043656 in words is "one billion, fifty-six million, forty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 97 106 108 159 162 194 212 216 291 317 318 324 388 424 477 582 634 636 648 776 873 951 954 1164 1268 1272 1431 1746 1902 1908 2328 2536 2619 2853 2862 3492 3804 3816 4293 5141 5238 5706 5724 6984 7608 7857 8559 8586 10282 10476 11412 11448 15423 15714 16801 17118 17172 20564 20952 22824 25677 30749 30846 31428 33602 34236 34344 41128 46269 50403 51354 61498 61692 62856 67204 68472 92247 92538 100806 102708 122996 123384 134408 138807 151209 184494 185076 201612 205416 245992 276741 277614 302418 368988 370152 403224 416421 453627 553482 555228 604836 737976 830223 832842 907254 1106964 1110456 1209672 1360881 1629697 1660446 1665684 1814508 2213928 2490669 2721762 3259394 3320892 3331368 3629016 4889091 4981338 5443524 6518788 6641784 9778182 9962676 10887048 13037576 14667273 19556364 19925352 29334546 39112728 44001819 58669092 88003638 117338184 132005457 176007276 264010914 352014552 528021828 1056043656