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54099997488 = 24327350910111
BaseRepresentation
bin110010011000100111…
…000111001100110000
312011122022200121211200
4302120213013030300
51341244044404423
640504142411200
73623435251125
oct623047071460
9164568617750
1054099997488
1120a42046929
12a599b90b00
135142303a44
14289307474c
1516197bdd43
hexc989c7330

54099997488 has 120 divisors (see below), whose sum is σ = 153795632640. Its totient is φ = 17749601280.

The previous prime is 54099997411. The next prime is 54099997489. The reversal of 54099997488 is 88479999045.

54099997488 is a `hidden beast` number, since 5 + 409 + 99 + 97 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (54099997489) 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, 5345553 + ... + 5355663.

It is an arithmetic number, because the mean of its divisors is an integer number (1281630272).

Almost surely, 254099997488 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 54099997488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76897816320).

54099997488 is an abundant number, since it is smaller than the sum of its proper divisors (99695635152).

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

54099997488 is a wasteful number, since it uses less digits than its factorization.

54099997488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10707 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 54099997488 in words is "fifty-four billion, ninety-nine million, nine hundred ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 509 584 657 876 1018 1168 1314 1527 1752 2036 2628 3054 3504 4072 4581 5256 6108 8144 9162 10111 10512 12216 18324 20222 24432 30333 36648 37157 40444 60666 73296 74314 80888 90999 111471 121332 148628 161776 181998 222942 242664 297256 334413 363996 445884 485328 594512 668826 727992 738103 891768 1337652 1455984 1476206 1783536 2214309 2675304 2952412 4428618 5146499 5350608 5904824 6642927 8857236 10292998 11809648 13285854 15439497 17714472 20585996 26571708 30878994 35428944 41171992 46318491 53143416 61757988 82343984 92636982 106286832 123515976 185273964 247031952 370547928 375694427 741095856 751388854 1127083281 1502777708 2254166562 3005555416 3381249843 4508333124 6011110832 6762499686 9016666248 13524999372 18033332496 27049998744 54099997488