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188696409664 = 267277572
BaseRepresentation
bin1010111110111100101…
…1101011011001000000
3200001001120120210121111
42233233023223121000
511042422240102124
6222404054533104
716430034006100
oct2575713533100
9601046523544
10188696409664
1173031227504
12306a2067194
1314a4253a799
1491c0b85200
154d95e17494
hex2bef2eb640

188696409664 has 63 divisors (see below), whose sum is σ = 435634383873. Its totient is φ = 80859464448.

The previous prime is 188696409619. The next prime is 188696409683. The reversal of 188696409664 is 466904696881.

The square root of 188696409664 is 434392.

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., 155204481600 + 33491928064 = 393960^2 + 183008^2 .

It is a super-2 number, since 2×1886964096642 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 188696409664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24322074 + ... + 24329830.

Almost surely, 2188696409664 is an apocalyptic number.

188696409664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

188696409664 is the 434392-nd square number.

It is an amenable number.

188696409664 is an abundant number, since it is smaller than the sum of its proper divisors (246937974209).

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

188696409664 is an frugal number, since it uses more digits than its factorization.

188696409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 67.

The spelling of 188696409664 in words is "one hundred eighty-eight billion, six hundred ninety-six million, four hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 7757 15514 31028 54299 62056 108598 124112 217196 248224 380093 434392 496448 760186 868784 1520372 1737568 3040744 3475136 6081488 12162976 24325952 60171049 120342098 240684196 421197343 481368392 842394686 962736784 1684789372 1925473568 2948381401 3369578744 3850947136 5896762802 6739157488 11793525604 13478314976 23587051208 26956629952 47174102416 94348204832 188696409664