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16133323440 = 2435135987643
BaseRepresentation
bin11110000011001111…
…01111101010110000
31112122100200202011210
433001213233222300
5231020112322230
611224521040120
71110540662253
oct170147575260
945570622153
1016133323440
116929927763
123163026040
1316a1596640
14ad095909a
1564657deb0
hex3c19efab0

16133323440 has 160 divisors (see below), whose sum is σ = 54773994240. Its totient is φ = 3903925248.

The previous prime is 16133323411. The next prime is 16133323477. The reversal of 16133323440 is 4432333161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16133323398 and 16133323407.

It is an unprimeable number.

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, 140259 + ... + 227901.

It is an arithmetic number, because the mean of its divisors is an integer number (342337464).

Almost surely, 216133323440 is an apocalyptic number.

16133323440 is a gapful number since it is divisible by the number (10) 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 16133323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27386997120).

16133323440 is an abundant number, since it is smaller than the sum of its proper divisors (38640670800).

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

16133323440 is a wasteful number, since it uses less digits than its factorization.

16133323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87731 (or 87725 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 16133323440 in words is "sixteen billion, one hundred thirty-three million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 708 767 780 885 944 1040 1180 1416 1534 1560 1770 2301 2360 2832 3068 3120 3540 3835 4602 4720 6136 7080 7670 9204 11505 12272 14160 15340 18408 23010 30680 36816 46020 61360 87643 92040 175286 184080 262929 350572 438215 525858 701144 876430 1051716 1139359 1314645 1402288 1752860 2103432 2278718 2629290 3418077 3505720 4206864 4557436 5170937 5258580 5696795 6836154 7011440 9114872 10341874 10517160 11393590 13672308 15512811 17090385 18229744 20683748 21034320 22787180 25854685 27344616 31025622 34180770 41367496 45574360 51709370 54689232 62051244 67222181 68361540 77564055 82734992 91148720 103418740 124102488 134444362 136723080 155128110 201666543 206837480 248204976 268888724 273446160 310256220 336110905 403333086 413674960 537777448 620512440 672221810 806666172 1008332715 1075554896 1241024880 1344443620 1613332344 2016665430 2688887240 3226664688 4033330860 5377774480 8066661720 16133323440