Search a number
-
+
5459340951552 = 21838977999
BaseRepresentation
bin100111101110001101000…
…0101000000000000000000
3201022220111212011011122110
41033130122011000000000
51203421212240422202
615335553035135320
71102265362266615
oct117343205000000
921286455134573
105459340951552
111815325708084
127420822a4540
13307a7675b097
1414c33aa8450c
1597023a8926c
hex4f71a140000

5459340951552 has 152 divisors (see below), whose sum is σ = 14721978960000. Its totient is φ = 1799310278656.

The previous prime is 5459340951509. The next prime is 5459340951563. The reversal of 5459340951552 is 2551590439545.

It is a super-2 number, since 2×54593409515522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5459340951492 and 5459340951501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69953449 + ... + 70031447.

Almost surely, 25459340951552 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 5459340951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360989480000).

5459340951552 is an abundant number, since it is smaller than the sum of its proper divisors (9262638008448).

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

5459340951552 is an frugal number, since it uses more digits than its factorization.

5459340951552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78127 (or 78093 counting only the distinct ones).

The product of its (nonzero) digits is 24300000, while the sum is 57.

The spelling of 5459340951552 in words is "five trillion, four hundred fifty-nine billion, three hundred forty million, nine hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2048 2136 2848 3072 4096 4272 5696 6144 8192 8544 11392 12288 16384 17088 22784 24576 32768 34176 45568 49152 65536 68352 77999 91136 98304 131072 136704 155998 182272 196608 233997 262144 273408 311996 364544 393216 467994 546816 623992 729088 786432 935988 1093632 1247984 1458176 1871976 2187264 2495968 2916352 3743952 4374528 4991936 5832704 6941911 7487904 8749056 9983872 11665408 13883822 14975808 17498112 19967744 20825733 23330816 27767644 29951616 34996224 39935488 41651466 55535288 59903232 69992448 79870976 83302932 111070576 119806464 159741952 166605864 222141152 239612928 319483904 333211728 444282304 479225856 638967808 666423456 888564608 958451712 1277935616 1332846912 1777129216 1916903424 2555871232 2665693824 3554258432 3833806848 5111742464 5331387648 7108516864 7667613696 10223484928 10662775296 14217033728 15335227392 20446969856 21325550592 28434067456 30670454784 42651101184 56868134912 61340909568 85302202368 113736269824 170604404736 227472539648 341208809472 454945079296 682417618944 909890158592 1364835237888 1819780317184 2729670475776 5459340951552