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16465134240 = 2532541278881
BaseRepresentation
bin11110101010110011…
…00000001010100000
31120111111001111000200
433111121200022200
5232210033243430
611321452545200
71122010221552
oct172531401240
946444044020
1016465134240
116a8a159065
123236182200
1317252516a9
14b22a4d4d2
15665773460
hex3d56602a0

16465134240 has 144 divisors (see below), whose sum is σ = 57557898216. Its totient is φ = 4283596800.

The previous prime is 16465134233. The next prime is 16465134241. The reversal of 16465134240 is 4243156461.

16465134240 is a `hidden beast` number, since 1 + 64 + 6 + 513 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9487539216 + 6977595024 = 97404^2 + 83532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×164651342402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16465134195 and 16465134204.

It is not an unprimeable number, because it can be changed into a prime (16465134241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80401 + ... + 198480.

Almost surely, 216465134240 is an apocalyptic number.

16465134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16465134240 is an abundant number, since it is smaller than the sum of its proper divisors (41092763976).

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

16465134240 is a wasteful number, since it uses less digits than its factorization.

16465134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278943 (or 278932 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 164651 and 34240, that added together give a palindrome (198891).

The spelling of 16465134240 in words is "sixteen billion, four hundred sixty-five million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 278881 557762 836643 1115524 1394405 1673286 2231048 2509929 2788810 3346572 4183215 4462096 5019858 5577620 6693144 8366430 8924192 10039716 11155240 11434121 12549645 13386288 16732860 20079432 22310480 22868242 25099290 26772576 33465720 34302363 40158864 44620960 45736484 50198580 57170605 66931440 68604726 80317728 91472968 100397160 102907089 114341210 133862880 137209452 171511815 182945936 200794320 205814178 228682420 274418904 343023630 365891872 401588640 411628356 457364840 514535445 548837808 686047260 823256712 914729680 1029070890 1097675616 1372094520 1646513424 1829459360 2058141780 2744189040 3293026848 4116283560 5488378080 8232567120 16465134240