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11897573776 = 24112372672
BaseRepresentation
bin10110001010010011…
…01001000110010000
31010201011101100222121
423011021221012100
5143331234330101
65244330144024
7600555465004
oct130511510620
933634340877
1011897573776
115055963300
122380582014
131177b818aa
1480c198704
1549978c0a1
hex2c5269190

11897573776 has 135 divisors (see below), whose sum is σ = 26435434977. Its totient is φ = 5183291520.

The previous prime is 11897573771. The next prime is 11897573783. The reversal of 11897573776 is 67737579811.

The square root of 11897573776 is 109076.

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., 10646112400 + 1251461376 = 103180^2 + 35376^2 .

It is not an unprimeable number, because it can be changed into a prime (11897573771) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 177575695 + ... + 177575761.

Almost surely, 211897573776 is an apocalyptic number.

11897573776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11897573776 is the 109076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11897573776

11897573776 is an abundant number, since it is smaller than the sum of its proper divisors (14537861201).

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

11897573776 is an equidigital number, since it uses as much as digits as its factorization.

11897573776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 117 counting only the distinct ones).

The product of its digits is 15558480, while the sum is 61.

The spelling of 11897573776 in words is "eleven billion, eight hundred ninety-seven million, five hundred seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 37 44 67 74 88 121 134 148 176 242 268 296 407 484 536 592 737 814 968 1072 1369 1474 1628 1936 2479 2738 2948 3256 4477 4489 4958 5476 5896 6512 8107 8954 8978 9916 10952 11792 15059 16214 17908 17956 19832 21904 27269 30118 32428 35816 35912 39664 49379 54538 60236 64856 71632 71824 91723 98758 109076 120472 129712 165649 166093 183446 197516 218152 240944 299959 331298 332186 366892 395032 436304 543169 599918 662596 664372 733784 790064 1008953 1086338 1199836 1325192 1328744 1467568 1827023 2017906 2172676 2399672 2650384 2657488 3654046 4035812 4345352 4799344 6145441 7308092 8071624 8690704 11098483 12290882 14616184 16143248 20097253 22196966 24581764 29232368 40194506 44393932 49163528 67599851 80389012 88787864 98327056 135199702 160778024 177575728 270399404 321556048 540798808 743598361 1081597616 1487196722 2974393444 5948786888 11897573776