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55328430514800 = 2435293851491279
BaseRepresentation
bin11001001010010001001110…
…11100100110001001110000
321020220100100110020012201210
430211020213130212021300
524223000111202433200
6313401310255400120
714440230041456112
oct1445104734461160
9236810313205653
1055328430514800
11166a1723686473
12625702b523040
1324b45aa79a561
14d93ca5d0b3b2
1565e345996650
hex325227726270

55328430514800 has 120 divisors (see below), whose sum is σ = 177237654992640. Its totient is φ = 14754060896000.

The previous prime is 55328430514793. The next prime is 55328430514801. The reversal of 55328430514800 is 841503482355.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×553284305148002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55328430514800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55328430514801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112375561 + ... + 112866839.

It is an arithmetic number, because the mean of its divisors is an integer number (1476980458272).

Almost surely, 255328430514800 is an apocalyptic number.

55328430514800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55328430514800 is an abundant number, since it is smaller than the sum of its proper divisors (121909224477840).

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

55328430514800 is a wasteful number, since it uses less digits than its factorization.

55328430514800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585151 (or 585140 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 55328430514800 in words is "fifty-five trillion, three hundred twenty-eight billion, four hundred thirty million, five hundred fourteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 93851 187702 281553 375404 469255 491279 563106 750808 938510 982558 1126212 1407765 1473837 1501616 1877020 1965116 2252424 2346275 2456395 2815530 2947674 3754040 3930232 4504848 4692550 4912790 5631060 5895348 7038825 7369185 7508080 7860464 9385100 9825580 11262120 11790696 12281975 14077650 14738370 18770200 19651160 22524240 23581392 24563950 28155300 29476740 36845925 37540400 39302320 49127900 56310600 58953480 73691850 98255800 112621200 117906960 147383700 196511600 294767400 589534800 46107025429 92214050858 138321076287 184428101716 230535127145 276642152574 368856203432 461070254290 553284305148 691605381435 737712406864 922140508580 1106568610296 1152675635725 1383210762870 1844281017160 2213137220592 2305351271450 2766421525740 3458026907175 3688562034320 4610702542900 5532843051480 6916053814350 9221405085800 11065686102960 13832107628700 18442810171600 27664215257400 55328430514800