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16153151120 = 24517891131181
BaseRepresentation
bin11110000101100110…
…11000011010010000
31112200202000002122022
433002303120122100
5231040201313440
611230510031012
71111201343021
oct170263303220
945622002568
1016153151120
11693a03a577
1231697a8468
1316a57194b2
14ad343ac48
15648198cb5
hex3c2cd8690

16153151120 has 160 divisors (see below), whose sum is σ = 40602267360. Its totient is φ = 5954600960.

The previous prime is 16153151117. The next prime is 16153151143. The reversal of 16153151120 is 2115135161.

It can be written as a sum of positive squares in 16 ways, for example, as 4576251904 + 11576899216 = 67648^2 + 107596^2 .

It is a super-2 number, since 2×161531511202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16153151120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13676930 + ... + 13678110.

It is an arithmetic number, because the mean of its divisors is an integer number (253764171).

Almost surely, 216153151120 is an apocalyptic number.

16153151120 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 16153151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301133680).

16153151120 is an abundant number, since it is smaller than the sum of its proper divisors (24449116240).

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

16153151120 is a wasteful number, since it uses less digits than its factorization.

16153151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 16153151120 its reverse (2115135161), we get a palindrome (18268286281).

The spelling of 16153151120 in words is "sixteen billion, one hundred fifty-three million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 113 136 170 178 226 272 340 356 445 452 565 680 712 890 904 1130 1181 1360 1424 1513 1780 1808 1921 2260 2362 3026 3560 3842 4520 4724 5905 6052 7120 7565 7684 9040 9448 9605 10057 11810 12104 15130 15368 18896 19210 20077 20114 23620 24208 30260 30736 38420 40154 40228 47240 50285 60520 76840 80308 80456 94480 100385 100570 105109 121040 133453 153680 160616 160912 170969 200770 201140 210218 266906 321232 341938 401540 402280 420436 525545 533812 667265 683876 803080 804560 840872 854845 1051090 1067624 1334530 1367752 1606160 1681744 1709690 1786853 2102180 2135248 2268701 2669060 2735504 3419380 3573706 4204360 4537402 5338120 6838760 7147412 8408720 8934265 9074804 10676240 11343505 11877317 13677520 14294824 17868530 18149608 22687010 23754634 28589648 35737060 36299216 45374020 47509268 59386585 71474120 90748040 95018536 118773170 142948240 181496080 190037072 201914389 237546340 403828778 475092680 807657556 950185360 1009571945 1615315112 2019143890 3230630224 4038287780 8076575560 16153151120