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5458590244512 = 253318134905043
BaseRepresentation
bin100111101101110110101…
…0101010001111010100000
3201022211120112120022012000
41033123231111101322200
51203413143100311022
615335350341004000
71102240645344426
oct117335525217240
921284515508160
105458590244512
111814a7a984839
12741ab29b3600
13307987076832
1414c2a90ab116
1596eccbec6ac
hex4f6ed551ea0

5458590244512 has 96 divisors (see below), whose sum is σ = 16008849380160. Its totient is φ = 1809477377280.

The previous prime is 5458590244511. The next prime is 5458590244571. The reversal of 5458590244512 is 2154420958545.

It is a happy number.

5458590244512 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 590 + 2 + 4 + 45 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54585902445122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5458590244511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17296138 + ... + 17608905.

It is an arithmetic number, because the mean of its divisors is an integer number (166758847710).

Almost surely, 25458590244512 is an apocalyptic number.

It is an amenable number.

5458590244512 is an abundant number, since it is smaller than the sum of its proper divisors (10550259135648).

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

5458590244512 is a wasteful number, since it uses less digits than its factorization.

5458590244512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34905243 (or 34905229 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 5458590244512 in words is "five trillion, four hundred fifty-eight billion, five hundred ninety million, two hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 181 216 288 362 432 543 724 864 1086 1448 1629 2172 2896 3258 4344 4887 5792 6516 8688 9774 13032 17376 19548 26064 39096 52128 78192 156384 34905043 69810086 104715129 139620172 209430258 279240344 314145387 418860516 558480688 628290774 837721032 942436161 1116961376 1256581548 1675442064 1884872322 2513163096 3350884128 3769744644 5026326192 6317812783 7539489288 10052652384 12635625566 15078978576 18953438349 25271251132 30157957152 37906876698 50542502264 56860315047 75813753396 101085004528 113720630094 151627506792 170580945141 202170009056 227441260188 303255013584 341161890282 454882520376 606510027168 682323780564 909765040752 1364647561128 1819530081504 2729295122256 5458590244512