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55381860726216 = 23319241543192791
BaseRepresentation
bin11001001011110100110000…
…01000101011010111001000
321021002110021002121011210220
430211322120020223113020
524224334022321214331
6313442024154310040
714444131064665203
oct1445723010532710
9237073232534726
1055381860726216
111671235163a092
126265461128320
1324b96440b037b
14d966d403093a
15660921560296
hex325e9822b5c8

55381860726216 has 128 divisors (see below), whose sum is σ = 146375000217600. Its totient is φ = 17413045632000.

The previous prime is 55381860726109. The next prime is 55381860726217. The reversal of 55381860726216 is 61262706818355.

It is a self number, because there is not a number n which added to its sum of digits gives 55381860726216.

It is not an unprimeable number, because it can be changed into a prime (55381860726217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596798781 + ... + 596891571.

It is an arithmetic number, because the mean of its divisors is an integer number (1143554689200).

Almost surely, 255381860726216 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 55381860726216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73187500108800).

55381860726216 is an abundant number, since it is smaller than the sum of its proper divisors (90993139491384).

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

55381860726216 is a wasteful number, since it uses less digits than its factorization.

55381860726216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98491 (or 98487 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 55381860726216 in words is "fifty-five trillion, three hundred eighty-one billion, eight hundred sixty million, seven hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 241 456 482 723 964 1446 1928 2892 4579 5431 5784 9158 10862 13737 16293 18316 21724 27474 32586 36632 43448 54948 65172 92791 103189 109896 130344 185582 206378 278373 309567 371164 412756 556746 619134 742328 825512 1113492 1238268 1308871 1763029 2226984 2476536 2617742 3526058 3926613 5235484 5289087 7052116 7853226 10470968 10578174 14104232 15706452 21156348 22362631 24868549 31412904 42312696 44725262 49737098 67087893 74605647 89450524 99474196 134175786 149211294 178901048 198948392 268351572 298422588 424889989 503947921 536703144 596845176 849779978 1007895842 1274669967 1511843763 1699559956 2015791684 2549339934 3023687526 3399119912 4031583368 5098679868 6047375052 9575010499 10197359736 12094750104 19150020998 28725031497 38300041996 57450062994 76600083992 114900125988 121451448961 229800251976 242902897922 364354346883 485805795844 728708693766 971611591688 1457417387532 2307577530259 2914834775064 4615155060518 6922732590777 9230310121036 13845465181554 18460620242072 27690930363108 55381860726216