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55672246000 = 2453717233917
BaseRepresentation
bin110011110110010100…
…110000111011110000
312022200220011010100001
4303312110300323300
51403004043333000
641324145235344
74010416166050
oct636624607360
9168626133301
1055672246000
1121679593468
12a958632b54
135332c710c7
1429a1bc3560
1516ac83a46a
hexcf6530ef0

55672246000 has 160 divisors (see below), whose sum is σ = 162896752512. Its totient is φ = 17964748800.

The previous prime is 55672245973. The next prime is 55672246039. The reversal of 55672246000 is 64227655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121042 + ... + 354958.

Almost surely, 255672246000 is an apocalyptic number.

55672246000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55672246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81448376256).

55672246000 is an abundant number, since it is smaller than the sum of its proper divisors (107224506512).

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

55672246000 is a wasteful number, since it uses less digits than its factorization.

55672246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233964 (or 233948 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 55672246000 in words is "fifty-five billion, six hundred seventy-two million, two hundred forty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 50 56 68 70 80 85 100 112 119 125 136 140 170 175 200 238 250 272 280 340 350 400 425 476 500 560 595 680 700 850 875 952 1000 1190 1360 1400 1700 1750 1904 2000 2125 2380 2800 2975 3400 3500 4250 4760 5950 6800 7000 8500 9520 11900 14000 14875 17000 23800 29750 34000 47600 59500 119000 233917 238000 467834 935668 1169585 1637419 1871336 2339170 3274838 3742672 3976589 4678340 5847925 6549676 7953178 8187095 9356680 11695850 13099352 15906356 16374190 18713360 19882945 23391700 26198704 27836123 29239625 31812712 32748380 39765890 40935475 46783400 55672246 58479250 63625424 65496760 79531780 81870950 93566800 99414725 111344492 116958500 130993520 139180615 159063560 163741900 198829450 204677375 222688984 233917000 278361230 318127120 327483800 397658900 409354750 445377968 467834000 497073625 556722460 654967600 695903075 795317800 818709500 994147250 1113444920 1391806150 1590635600 1637419000 1988294500 2226889840 2783612300 3274838000 3479515375 3976589000 5567224600 6959030750 7953178000 11134449200 13918061500 27836123000 55672246000