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54049486128 = 24311271131071
BaseRepresentation
bin110010010101100110…
…011011010100110000
312011111210122101021120
4302111212123110300
51341143132024003
640455140022240
73622253023521
oct622546332460
9164453571246
1054049486128
1120a16586a00
12a585091980
1351349c9971
14288a486848
151615142853
hexc9599b530

54049486128 has 120 divisors (see below), whose sum is σ = 155638038528. Its totient is φ = 16147824000.

The previous prime is 54049486123. The next prime is 54049486159. The reversal of 54049486128 is 82168494045.

It is not an unprimeable number, because it can be changed into a prime (54049486123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346833 + ... + 477903.

Almost surely, 254049486128 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 54049486128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77819019264).

54049486128 is an abundant number, since it is smaller than the sum of its proper divisors (101588552400).

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

54049486128 is a wasteful number, since it uses less digits than its factorization.

54049486128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131175 (or 131158 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 54049486128 in words is "fifty-four billion, forty-nine million, four hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 121 132 142 176 213 242 264 284 363 426 484 528 568 726 781 852 968 1136 1452 1562 1704 1936 2343 2904 3124 3408 4686 5808 6248 8591 9372 12496 17182 18744 25773 34364 37488 51546 68728 103092 131071 137456 206184 262142 393213 412368 524284 786426 1048568 1441781 1572852 2097136 2883562 3145704 4325343 5767124 6291408 8650686 9306041 11534248 15859591 17301372 18612082 23068496 27918123 31719182 34602744 37224164 47578773 55836246 63438364 69205488 74448328 95157546 102366451 111672492 126876728 148896656 190315092 204732902 223344984 253753456 307099353 380630184 409465804 446689968 614198706 761260368 818931608 1126030961 1228397412 1637863216 2252061922 2456794824 3378092883 4504123844 4913589648 6756185766 9008247688 13512371532 18016495376 27024743064 54049486128