Search a number
-
+
16133346840 = 23351389116201
BaseRepresentation
bin11110000011001111…
…10101011000011000
31112122100201221021110
433001213311120120
5231020114044330
611224521340320
71110541120422
oct170147653030
945570657243
1016133346840
1169299432a6
1231630376a0
1316a15a41a0
14ad0963812
15646585db0
hex3c19f5618

16133346840 has 128 divisors (see below), whose sum is σ = 52709227200. Its totient is φ = 3926630400.

The previous prime is 16133346839. The next prime is 16133346871. The reversal of 16133346840 is 4864333161.

16133346840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 80740 + ... + 196940.

Almost surely, 216133346840 is an apocalyptic number.

16133346840 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 16133346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26354613600).

16133346840 is an abundant number, since it is smaller than the sum of its proper divisors (36575880360).

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

16133346840 is a wasteful number, since it uses less digits than its factorization.

16133346840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116317 (or 116313 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 16133346840 in words is "sixteen billion, one hundred thirty-three million, three hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 89 104 120 130 156 178 195 260 267 312 356 390 445 520 534 712 780 890 1068 1157 1335 1560 1780 2136 2314 2670 3471 3560 4628 5340 5785 6942 9256 10680 11570 13884 17355 23140 27768 34710 46280 69420 116201 138840 232402 348603 464804 581005 697206 929608 1162010 1394412 1510613 1743015 2324020 2788824 3021226 3486030 4531839 4648040 6042452 6972060 7553065 9063678 10341889 12084904 13944120 15106130 18127356 20683778 22659195 30212260 31025667 36254712 41367556 45318390 51709445 60424520 62051334 82735112 90636780 103418890 124102668 134444557 155128335 181273560 206837780 248205336 268889114 310256670 403333671 413675560 537778228 620513340 672222785 806667342 1075556456 1241026680 1344445570 1613334684 2016668355 2688891140 3226669368 4033336710 5377782280 8066673420 16133346840