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5459678392128 = 263307809114493
BaseRepresentation
bin100111101110010111000…
…1100001110111101000000
3201022221101101002221002120
41033130232030032331000
51203422410132022003
615340050331444240
71102306630424442
oct117345614167500
921287341087076
105459678392128
111815489134194
127421572b6680
13307acb63776c
1414c36d802492
15970434e1853
hex4f72e30ef40

5459678392128 has 112 divisors (see below), whose sum is σ = 14510493264960. Its totient is φ = 1811706753024.

The previous prime is 5459678392111. The next prime is 5459678392169. The reversal of 5459678392128 is 8212938769545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47628450 + ... + 47742942.

It is an arithmetic number, because the mean of its divisors is an integer number (129557975580).

Almost surely, 25459678392128 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 5459678392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255246632480).

5459678392128 is an abundant number, since it is smaller than the sum of its proper divisors (9050814872832).

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

5459678392128 is a wasteful number, since it uses less digits than its factorization.

5459678392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115624 (or 115614 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 69.

The spelling of 5459678392128 in words is "five trillion, four hundred fifty-nine billion, six hundred seventy-eight million, three hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 809 921 1228 1618 1842 2427 2456 3236 3684 4854 4912 6472 7368 9708 9824 12944 14736 19416 19648 25888 29472 38832 51776 58944 77664 114493 155328 228986 248363 343479 457972 496726 686958 745089 915944 993452 1373916 1490178 1831888 1986904 2747832 2980356 3663776 3973808 5495664 5960712 7327552 7947616 10991328 11921424 15895232 21982656 23842848 35149351 47685696 70298702 92624837 105448053 140597404 185249674 210896106 277874511 281194808 370499348 421792212 555749022 562389616 740998696 843584424 1111498044 1124779232 1481997392 1687168848 2222996088 2249558464 2963994784 3374337696 4445992176 5927989568 6748675392 8891984352 17783968704 28435824959 56871649918 85307474877 113743299836 170614949754 227486599672 341229899508 454973199344 682459799016 909946398688 1364919598032 1819892797376 2729839196064 5459678392128