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55112416134560 = 2552297731945873
BaseRepresentation
bin11001000011111110110111…
…11111001000010110100000
321020010200210001001201110022
430201333123333020112200
524210430212012301220
6313114143333453012
714415512022516641
oct1441773377102640
9236120701051408
1055112416134560
1116619054148384
1262211a47a1168
13249a10372b955
14d87652dd36c8
1565890163a925
hex321fdbfc85a0

55112416134560 has 96 divisors (see below), whose sum is σ = 130940897023440. Its totient is φ = 21920294780928.

The previous prime is 55112416134353. The next prime is 55112416134569. The reversal of 55112416134560 is 6543161421155.

It can be written as a sum of positive squares in 8 ways, for example, as 9407298705424 + 45705117429136 = 3067132^2 + 6760556^2 .

It is not an unprimeable number, because it can be changed into a prime (55112416134569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27349784 + ... + 29295656.

Almost surely, 255112416134560 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 55112416134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65470448511720).

55112416134560 is an abundant number, since it is smaller than the sum of its proper divisors (75828480888880).

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

55112416134560 is a wasteful number, since it uses less digits than its factorization.

55112416134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946890 (or 1946882 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 55112416134560 in words is "fifty-five trillion, one hundred twelve billion, four hundred sixteen million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 229 458 773 916 1145 1546 1832 2290 3092 3664 3865 4580 6184 7328 7730 9160 12368 15460 18320 24736 30920 36640 61840 123680 177017 354034 708068 885085 1416136 1770170 1945873 2832272 3540340 3891746 5664544 7080680 7783492 9729365 14161360 15566984 19458730 28322720 31133968 38917460 62267936 77834920 155669840 311339680 445604917 891209834 1504159829 1782419668 2228024585 3008319658 3564839336 4456049170 6016639316 7129678672 7520799145 8912098340 12033278632 14259357344 15041598290 17824196680 24066557264 30083196580 35648393360 48133114528 60166393160 71296786720 120332786320 240665572640 344452600841 688905201682 1377810403364 1722263004205 2755620806728 3444526008410 5511241613456 6889052016820 11022483226912 13778104033640 27556208067280 55112416134560