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55021563120 = 24352967117991
BaseRepresentation
bin110011001111100010…
…100110110011110000
312021000112210000020010
4303033202212303300
51400141010004440
641135423014520
73655325366316
oct631742466360
9167015700203
1055021563120
1121375268817
12a7b673a440
13525b20b354
14293d6060b6
15167065a580
hexccf8a6cf0

55021563120 has 160 divisors (see below), whose sum is σ = 179083537920. Its totient is φ = 13954913280.

The previous prime is 55021563109. The next prime is 55021563137. The reversal of 55021563120 is 2136512055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 407325 + ... + 525315.

It is an arithmetic number, because the mean of its divisors is an integer number (1119272112).

Almost surely, 255021563120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55021563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89541768960).

55021563120 is an abundant number, since it is smaller than the sum of its proper divisors (124061974800).

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

55021563120 is a wasteful number, since it uses less digits than its factorization.

55021563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118103 (or 118097 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 55021563120 in words is "fifty-five billion, twenty-one million, five hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 67 80 87 116 120 134 145 174 201 232 240 268 290 335 348 402 435 464 536 580 670 696 804 870 1005 1072 1160 1340 1392 1608 1740 1943 2010 2320 2680 3216 3480 3886 4020 5360 5829 6960 7772 8040 9715 11658 15544 16080 19430 23316 29145 31088 38860 46632 58290 77720 93264 116580 117991 155440 233160 235982 353973 466320 471964 589955 707946 943928 1179910 1415892 1769865 1887856 2359820 2831784 3421739 3539730 4719640 5663568 6843478 7079460 7905397 9439280 10265217 13686956 14158920 15810794 17108695 20530434 23716191 27373912 28317840 31621588 34217390 39526985 41060868 47432382 51326085 54747824 63243176 68434780 79053970 82121736 94864764 102652170 118580955 126486352 136869560 158107940 164243472 189729528 205304340 229256513 237161910 273739120 316215880 379459056 410608680 458513026 474323820 632431760 687769539 821217360 917026052 948647640 1146282565 1375539078 1834052104 1897295280 2292565130 2751078156 3438847695 3668104208 4585130260 5502156312 6877695390 9170260520 11004312624 13755390780 18340521040 27510781560 55021563120