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5458229760 = 29351395113
BaseRepresentation
bin1010001010101010…
…11111101000000000
3112002101121210121210
411011111133220000
542134301323020
62301340450120
7252155121204
oct50525375000
915071553553
105458229760
112351034895
121083b49940
1368ca7a469
1439aca2b04
1521e2bd3e0
hex14555fa00

5458229760 has 160 divisors (see below), whose sum is σ = 17578249920. Its totient is φ = 1444773888.

The previous prime is 5458229759. The next prime is 5458229789. The reversal of 5458229760 is 679228545.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×54582297602 = 59584544225899315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1064964 + ... + 1070076.

It is an arithmetic number, because the mean of its divisors is an integer number (109864062).

Almost surely, 25458229760 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 5458229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8789124960).

5458229760 is an abundant number, since it is smaller than the sum of its proper divisors (12120020160).

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

5458229760 is a wasteful number, since it uses less digits than its factorization.

5458229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 5458229760 is about 73879.8332429087. The cubic root of 5458229760 is about 1760.6942164945.

The spelling of 5458229760 in words is "five billion, four hundred fifty-eight million, two hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 512 556 640 695 768 834 960 1112 1280 1390 1536 1668 1920 2085 2224 2560 2780 3336 3840 4170 4448 5113 5560 6672 7680 8340 8896 10226 11120 13344 15339 16680 17792 20452 22240 25565 26688 30678 33360 35584 40904 44480 51130 53376 61356 66720 71168 76695 81808 88960 102260 106752 122712 133440 153390 163616 177920 204520 213504 245424 266880 306780 327232 355840 409040 490848 533760 613560 654464 710707 818080 981696 1067520 1227120 1308928 1421414 1636160 1963392 2132121 2454240 2617856 2842828 3272320 3553535 3926784 4264242 4908480 5685656 6544640 7107070 7853568 8528484 9816960 10660605 11371312 13089280 14214140 17056968 19633920 21321210 22742624 28428280 34113936 39267840 42642420 45485248 56856560 68227872 85284840 90970496 113713120 136455744 170569680 181940992 227426240 272911488 341139360 363881984 454852480 545822976 682278720 909704960 1091645952 1364557440 1819409920 2729114880 5458229760