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5458846512 = 243753317967
BaseRepresentation
bin1010001010101111…
…10110001100110000
3112002102210010122110
411011113312030300
542134431042022
62301402005320
7252163300260
oct50527661460
915072703573
105458846512
1123514161a9
1210841a6840
1368cc350c2
1439adc37a0
1521e39100c
hex1455f6330

5458846512 has 160 divisors (see below), whose sum is σ = 16489516032. Its totient is φ = 1523837952.

The previous prime is 5458846483. The next prime is 5458846553. The reversal of 5458846512 is 2156488545.

It is a super-2 number, since 2×54588465122 = 59598010483149132288, 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 31 ways as a sum of consecutive naturals, for example, 5644653 + ... + 5645619.

Almost surely, 25458846512 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 5458846512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244758016).

5458846512 is an abundant number, since it is smaller than the sum of its proper divisors (11030669520).

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

5458846512 is a wasteful number, since it uses less digits than its factorization.

5458846512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 48.

The square root of 5458846512 is about 73884.0071463372. The cubic root of 5458846512 is about 1760.7605304723.

The spelling of 5458846512 in words is "five billion, four hundred fifty-eight million, eight hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 317 318 336 371 424 634 636 742 848 951 967 1113 1268 1272 1484 1902 1934 2219 2226 2536 2544 2901 2968 3804 3868 4438 4452 5072 5802 5936 6657 6769 7608 7736 8876 8904 11604 13314 13538 15216 15472 16801 17752 17808 20307 23208 26628 27076 33602 35504 40614 46416 50403 51251 53256 54152 67204 81228 100806 102502 106512 108304 117607 134408 153753 162456 201612 205004 235214 268816 306539 307506 324912 352821 358757 403224 410008 470428 613078 615012 705642 717514 806448 820016 919617 940856 1076271 1226156 1230024 1411284 1435028 1839234 1881712 2145773 2152542 2452312 2460048 2822568 2870056 3678468 4291546 4305084 4904624 5645136 5740112 6437319 7356936 8583092 8610168 12874638 14713872 16246567 17166184 17220336 25749276 32493134 34332368 48739701 51498552 64986268 97479402 102997104 113725969 129972536 194958804 227451938 259945072 341177907 389917608 454903876 682355814 779835216 909807752 1364711628 1819615504 2729423256 5458846512