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4993858656 = 25348232341
BaseRepresentation
bin1001010011010100…
…00011110001100000
3110220000211022020000
410221222003301200
540211411434111
62143311420000
7234516045453
oct45152036140
913800738200
104993858656
1121329a2a16
12b74524600
136177bb467
1435534349a
151e3641c56
hex129a83c60

4993858656 has 120 divisors (see below), whose sum is σ = 14710926384. Its totient is φ = 1661886720.

The previous prime is 4993858643. The next prime is 4993858691. The reversal of 4993858656 is 6568583994.

4993858656 is a `hidden beast` number, since 49 + 9 + 3 + 8 + 586 + 5 + 6 = 666.

It is a super-2 number, since 2×49938586562 = 49877248552212252672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4993858593 and 4993858602.

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 19 ways as a sum of consecutive naturals, for example, 2132046 + ... + 2134386.

Almost surely, 24993858656 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 4993858656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355463192).

4993858656 is an abundant number, since it is smaller than the sum of its proper divisors (9717067728).

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

4993858656 is a wasteful number, since it uses less digits than its factorization.

4993858656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3169 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The square root of 4993858656 is about 70667.2389159220. The cubic root of 4993858656 is about 1709.2755564746.

The spelling of 4993858656 in words is "four billion, nine hundred ninety-three million, eight hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 823 864 1296 1646 2341 2469 2592 3292 4682 4938 6584 7023 7407 9364 9876 13168 14046 14814 18728 19752 21069 22221 26336 28092 29628 37456 39504 42138 44442 56184 59256 63207 66663 74912 79008 84276 88884 112368 118512 126414 133326 168552 177768 189621 224736 237024 252828 266652 337104 355536 379242 505656 533304 674208 711072 758484 1011312 1066608 1516968 1926643 2022624 2133216 3033936 3853286 5779929 6067872 7706572 11559858 15413144 17339787 23119716 30826288 34679574 46239432 52019361 61652576 69359148 92478864 104038722 138718296 156058083 184957728 208077444 277436592 312116166 416154888 554873184 624232332 832309776 1248464664 1664619552 2496929328 4993858656