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16457137060 = 22572135324373
BaseRepresentation
bin11110101001110101…
…11111101110100100
31120110221000011221211
433110322333232210
5232201011341220
611321005321204
71121552233300
oct172472775644
946427004854
1016457137060
116a85696721
123233566204
1317236b1630
14b2196ad00
15664be3b5a
hex3d4ebfba4

16457137060 has 144 divisors (see below), whose sum is σ = 44113625136. Its totient is φ = 5109931008.

The previous prime is 16457137049. The next prime is 16457137061. The reversal of 16457137060 is 6073175461.

It can be written as a sum of positive squares in 8 ways, for example, as 973814436 + 15483322624 = 31206^2 + 124432^2 .

It is not an unprimeable number, because it can be changed into a prime (16457137061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663034 + ... + 687406.

It is an arithmetic number, because the mean of its divisors is an integer number (306344619).

Almost surely, 216457137060 is an apocalyptic number.

16457137060 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 16457137060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22056812568).

16457137060 is an abundant number, since it is smaller than the sum of its proper divisors (27656488076).

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

16457137060 is a wasteful number, since it uses less digits than its factorization.

16457137060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24462 (or 24453 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 16457137060 in words is "sixteen billion, four hundred fifty-seven million, one hundred thirty-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 53 65 70 91 98 106 130 140 182 196 212 245 260 265 364 371 455 490 530 637 689 742 910 980 1060 1274 1378 1484 1820 1855 2548 2597 2756 3185 3445 3710 4823 5194 6370 6890 7420 9646 10388 12740 12985 13780 19292 24115 24373 25970 33761 48230 48746 51940 67522 96460 97492 121865 135044 168805 170611 243730 316849 337610 341222 487460 633698 675220 682444 853055 1194277 1267396 1291769 1584245 1706110 2217943 2388554 2583538 3168490 3412220 4435886 4777108 5167076 5971385 6336980 6458845 8871772 9042383 11089715 11942770 12917690 15525601 16792997 18084766 22179430 23885540 25835380 31051202 33585994 36169532 44358860 45211915 62102404 63296681 67171988 77628005 83964985 90423830 117550979 126593362 155256010 167929970 180847660 235101958 253186724 310512020 316483405 335859940 470203916 587754895 632966810 822856853 1175509790 1265933620 1645713706 2351019580 3291427412 4114284265 8228568530 16457137060