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5358143952 = 243373495077
BaseRepresentation
bin1001111110101111…
…01100100111010000
3111211102021220201000
410333113230213100
541433141101302
62243403342000
7246531320640
oct47727544720
914742256630
105358143952
1122aa594947
121056521900
136751068a5
1438b88c520
152155ed31c
hex13f5ec9d0

5358143952 has 160 divisors (see below), whose sum is σ = 17630816000. Its totient is φ = 1526211072.

The previous prime is 5358143951. The next prime is 5358144073. The reversal of 5358143952 is 2593418535.

5358143952 is a `hidden beast` number, since 535 + 81 + 4 + 39 + 5 + 2 = 666.

It is a super-2 number, since 2×53581439522 = 57419413220708356608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5358143898 and 5358143907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358143951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052838 + ... + 1057914.

It is an arithmetic number, because the mean of its divisors is an integer number (110192600).

Almost surely, 25358143952 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 5358143952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815408000).

5358143952 is an abundant number, since it is smaller than the sum of its proper divisors (12272672048).

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

5358143952 is a wasteful number, since it uses less digits than its factorization.

5358143952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5438 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 5358143952 is about 73199.3439314862. The cubic root of 5358143952 is about 1749.8659981204.

The spelling of 5358143952 in words is "five billion, three hundred fifty-eight million, one hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 349 378 432 504 698 756 1008 1047 1396 1512 2094 2443 2792 3024 3141 4188 4886 5077 5584 6282 7329 8376 9423 9772 10154 12564 14658 15231 16752 18846 19544 20308 21987 25128 29316 30462 35539 37692 39088 40616 43974 45693 50256 58632 60924 65961 71078 75384 81232 87948 91386 106617 117264 121848 131922 137079 142156 150768 175896 182772 213234 243696 263844 274158 284312 319851 351792 365544 426468 527688 548316 568624 639702 731088 852936 959553 1055376 1096632 1279404 1705872 1771873 1919106 2193264 2558808 3543746 3838212 5117616 5315619 7087492 7676424 10631238 12403111 14174984 15352848 15946857 21262476 24806222 28349968 31893714 37209333 42524952 47840571 49612444 63787428 74418666 85049904 95681142 99224888 111627999 127574856 148837332 191362284 198449776 223255998 255149712 297674664 334883997 382724568 446511996 595349328 669767994 765449136 893023992 1339535988 1786047984 2679071976 5358143952