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4968235113000 = 2335310971509643
BaseRepresentation
bin100100001001100000111…
…1000111001101000101000
3122120221212211212200012220
41020103001320321220220
51122344421142104000
614322213052434040
71021641332451135
oct110230170715050
918527784780186
104968235113000
111646020221835
12682a63a78920
132a066c184443
1413266cba558c
158937dbc81a0
hex484c1e39a28

4968235113000 has 128 divisors (see below), whose sum is σ = 15515034088320. Its totient is φ = 1323654105600.

The previous prime is 4968235112993. The next prime is 4968235113047. The reversal of 4968235113000 is 3115328694.

It is a super-2 number, since 2×49682351130002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2536179 + ... + 4045821.

It is an arithmetic number, because the mean of its divisors is an integer number (121211203815).

Almost surely, 24968235113000 is an apocalyptic number.

4968235113000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968235113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757517044160).

4968235113000 is an abundant number, since it is smaller than the sum of its proper divisors (10546798975320).

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

4968235113000 is a wasteful number, since it uses less digits than its factorization.

4968235113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510764 (or 1510750 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 4968235113000 in words is "four trillion, nine hundred sixty-eight billion, two hundred thirty-five million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1097 1500 2194 3000 3291 4388 5485 6582 8776 10970 13164 16455 21940 26328 27425 32910 43880 54850 65820 82275 109700 131640 137125 164550 219400 274250 329100 411375 548500 658200 822750 1097000 1509643 1645500 3019286 3291000 4528929 6038572 7548215 9057858 12077144 15096430 18115716 22644645 30192860 36231432 37741075 45289290 60385720 75482150 90578580 113223225 150964300 181157160 188705375 226446450 301928600 377410750 452892900 566116125 754821500 905785800 1132232250 1509643000 1656078371 2264464500 3312156742 4528929000 4968235113 6624313484 8280391855 9936470226 13248626968 16560783710 19872940452 24841175565 33121567420 39745880904 41401959275 49682351130 66243134840 82803918550 99364702260 124205877825 165607837100 198729404520 207009796375 248411755650 331215674200 414019592750 496823511300 621029389125 828039185500 993647022600 1242058778250 1656078371000 2484117556500 4968235113000