Search a number
-
+
10338018480 = 2432547305497
BaseRepresentation
bin10011010000011000…
…11010010010110000
3222200110210202022100
421220030122102300
5132133013042410
64425455340400
7514120464366
oct115014322260
928613722270
1010338018480
1144255a6329
122006221700
13c89a39bca
14700dd1636
154078cb8c0
hex26831a4b0

10338018480 has 120 divisors (see below), whose sum is σ = 35457319872. Its totient is φ = 2698140672.

The previous prime is 10338018473. The next prime is 10338018499. The reversal of 10338018480 is 8481083301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 118909 + ... + 186588.

Almost surely, 210338018480 is an apocalyptic number.

10338018480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10338018480 is an abundant number, since it is smaller than the sum of its proper divisors (25119301392).

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

10338018480 is a wasteful number, since it uses less digits than its factorization.

10338018480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305563 (or 305554 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10338018480 in words is "ten billion, three hundred thirty-eight million, eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 305497 610994 916491 1221988 1527485 1832982 2443976 2749473 3054970 3665964 4582455 4887952 5498946 6109940 7331928 9164910 10997892 12219880 13747365 14358359 14663856 18329820 21995784 24439760 27494730 28716718 36659640 43075077 43991568 54989460 57433436 71791795 73319280 86150154 109978920 114866872 129225231 143583590 172300308 215375385 219957840 229733744 258450462 287167180 344600616 430750770 516900924 574334360 646126155 689201232 861501540 1033801848 1148668720 1292252310 1723003080 2067603696 2584504620 3446006160 5169009240 10338018480