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16496508420 = 22325717375679
BaseRepresentation
bin11110101110100010…
…01011111000000100
31120120200002110022100
433113101023320010
5232241101232140
611324533232100
71122541002510
oct172721137004
946520073270
1016496508420
116aa5937a37
123244792630
13172b8b7cb2
14b26c99140
156683be530
hex3d744be04

16496508420 has 144 divisors (see below), whose sum is σ = 57519221760. Its totient is φ = 3748785408.

The previous prime is 16496508397. The next prime is 16496508437. The reversal of 16496508420 is 2480569461.

16496508420 is a `hidden beast` number, since 16 + 4 + 96 + 508 + 42 + 0 = 666.

16496508420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164965084202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 180141 + ... + 255819.

It is an arithmetic number, because the mean of its divisors is an integer number (399439040).

Almost surely, 216496508420 is an apocalyptic number.

16496508420 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 16496508420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28759610880).

16496508420 is an abundant number, since it is smaller than the sum of its proper divisors (41022713340).

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

16496508420 is a wasteful number, since it uses less digits than its factorization.

16496508420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75874 (or 75869 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16496508420 in words is "sixteen billion, four hundred ninety-six million, five hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 173 180 210 252 315 346 420 519 630 692 865 1038 1211 1260 1557 1730 2076 2422 2595 3114 3460 3633 4844 5190 6055 6228 7266 7785 10380 10899 12110 14532 15570 18165 21798 24220 31140 36330 43596 54495 72660 75679 108990 151358 217980 227037 302716 378395 454074 529753 681111 756790 908148 1059506 1135185 1362222 1513580 1589259 2119012 2270370 2648765 2724444 3178518 3405555 4540740 4767777 5297530 6357036 6811110 7946295 9535554 10595060 13092467 13622220 15892590 19071108 23838885 26184934 31785180 39277401 47677770 52369868 65462335 78554802 91647269 95355540 117832203 130924670 157109604 183294538 196387005 235664406 261849340 274941807 366589076 392774010 458236345 471328812 549883614 589161015 785548020 824825421 916472690 1099767228 1178322030 1374709035 1649650842 1832945380 2356644060 2749418070 3299301684 4124127105 5498836140 8248254210 16496508420