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51675291684 = 22347321732
BaseRepresentation
bin110000001000000101…
…100110000000100100
311221101100011210210000
4300020011212000210
51321312333313214
635423404501300
73506363506032
oct601005460044
9157340153700
1051675291684
111aa0839a535
12a021b4a830
134b46b77a93
142703023552
1515269b7809
hexc08166024

51675291684 has 135 divisors (see below), whose sum is σ = 137761593123. Its totient is φ = 16890933888.

The previous prime is 51675291671. The next prime is 51675291691. The reversal of 51675291684 is 48619257615.

It is a happy number.

The square root of 51675291684 is 227322.

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

51675291684 is a `hidden beast` number, since 51 + 6 + 7 + 529 + 1 + 68 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14023770084 + 37651521600 = 118422^2 + 194040^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 51675291684.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 298701022 + ... + 298701194.

Almost surely, 251675291684 is an apocalyptic number.

51675291684 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51675291684 is the 227322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51675291684

51675291684 is an abundant number, since it is smaller than the sum of its proper divisors (86086301439).

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

51675291684 is an equidigital number, since it uses as much as digits as its factorization.

51675291684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 251 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 51675291684 in words is "fifty-one billion, six hundred seventy-five million, two hundred ninety-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 173 219 292 324 346 438 519 657 692 876 1038 1314 1557 1971 2076 2628 3114 3942 4671 5329 5913 6228 7884 9342 10658 11826 12629 14013 15987 18684 21316 23652 25258 28026 29929 31974 37887 47961 50516 56052 59858 63948 75774 89787 95922 113661 119716 143883 151548 179574 191844 227322 269361 287766 340983 359148 431649 454644 538722 575532 681966 808083 863298 921917 1022949 1077444 1363932 1616166 1726596 1843834 2045898 2184817 2424249 2765751 3232332 3687668 4091796 4369634 4848498 5531502 6554451 8297253 8739268 9696996 11063004 13108902 16594506 19663353 24891759 26217804 33189012 39326706 49783518 58990059 74675277 78653412 99567036 117980118 149350554 159491641 176970177 235960236 298701108 318983282 353940354 478474923 637966564 707880708 956949846 1435424769 1913899692 2870849538 4306274307 5741699076 8612548614 12918822921 17225097228 25837645842 51675291684