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11328622096 = 24112412592
BaseRepresentation
bin10101000110011110…
…10000111000010000
31002020111210122000011
422203033100320100
5141200111401341
65112043404304
7550506461521
oct124317207020
932214718004
1011328622096
114893791500
122241b23694
1310b70371ac
147967b4848
15464853b81
hex2a33d0e10

11328622096 has 135 divisors (see below), whose sum is σ = 25155012589. Its totient is φ = 4938630400.

The previous prime is 11328622079. The next prime is 11328622103. The reversal of 11328622096 is 69022682311.

The square root of 11328622096 is 106436.

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

It can be written as a sum of positive squares in only one way, i.e., 545876496 + 10782745600 = 23364^2 + 103840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192010515 + ... + 192010573.

Almost surely, 211328622096 is an apocalyptic number.

11328622096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11328622096 is the 106436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11328622096

11328622096 is an abundant number, since it is smaller than the sum of its proper divisors (13826390493).

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

11328622096 is an equidigital number, since it uses as much as digits as its factorization.

11328622096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 11328622096 in words is "eleven billion, three hundred twenty-eight million, six hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 41 44 59 82 88 118 121 164 176 236 242 328 451 472 484 649 656 902 944 968 1298 1681 1804 1936 2419 2596 3362 3481 3608 4838 4961 5192 6724 6962 7139 7216 9676 9922 10384 13448 13924 14278 18491 19352 19844 26609 26896 27848 28556 36982 38291 38704 39688 53218 55696 57112 73964 76582 79376 99179 106436 114224 142721 147928 153164 198358 203401 212872 285442 292699 295856 306328 396716 406802 421201 425744 570884 585398 612656 793432 813604 842402 1090969 1141768 1170796 1569931 1586864 1627208 1684804 2181938 2283536 2341592 3139862 3254416 3369608 4363876 4683184 5851561 6279724 6739216 8727752 11703122 12000659 12559448 17269241 17455504 23406244 24001318 25118896 34538482 46812488 48002636 64367171 69076964 93624976 96005272 128734342 138153928 192010544 257468684 276307856 514937368 708038881 1029874736 1416077762 2832155524 5664311048 11328622096