Search a number
-
+
16371124640 = 2551321933137
BaseRepresentation
bin11110011111100101…
…11000100110100000
31120020221011022002122
433033302320212200
5232012001442030
611304254003412
71116456156233
oct171762704640
946227138078
1016371124640
116a41089282
12320a7a6568
13170b927700
14b1437b41a
1565c3a38e5
hex3cfcb89a0

16371124640 has 144 divisors (see below), whose sum is σ = 42111194328. Its totient is φ = 6011486208.

The previous prime is 16371124639. The next prime is 16371124681. The reversal of 16371124640 is 4642117361.

It can be written as a sum of positive squares in 12 ways, for example, as 471932176 + 15899192464 = 21724^2 + 126092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16371124640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5217152 + ... + 5220288.

Almost surely, 216371124640 is an apocalyptic number.

16371124640 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 16371124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055597164).

16371124640 is an abundant number, since it is smaller than the sum of its proper divisors (25740069688).

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

16371124640 is a wasteful number, since it uses less digits than its factorization.

16371124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 16371124640 in words is "sixteen billion, three hundred seventy-one million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 193 208 260 338 386 416 520 676 772 845 965 1040 1352 1544 1690 1930 2080 2509 2704 3088 3137 3380 3860 5018 5408 6176 6274 6760 7720 10036 12545 12548 13520 15440 15685 20072 25090 25096 27040 30880 31370 32617 40144 40781 50180 50192 62740 65234 80288 81562 100360 100384 125480 130468 163085 163124 200720 203905 250960 260936 326170 326248 401440 407810 501920 521872 530153 605441 652340 652496 815620 1043744 1060306 1210882 1304680 1304992 1631240 2120612 2421764 2609360 2650765 3027205 3262480 4241224 4843528 5218720 5301530 6054410 6524960 7870733 8482448 9687056 10603060 12108820 15741466 16964896 19374112 21206120 24217640 31482932 39353665 42412240 48435280 62965864 78707330 84824480 96870560 102319529 125931728 157414660 204639058 251863456 314829320 409278116 511597645 629658640 818556232 1023195290 1259317280 1637112464 2046390580 3274224928 4092781160 8185562320 16371124640