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16354361920 = 2651313928283
BaseRepresentation
bin11110011101100101…
…11100001001000000
31120012202121122222011
433032302330021000
5231443204040140
611302454422304
71116163532311
oct171662741100
946182548864
1016354361920
116a3267a196
123205061994
131708308940
14b12056608
1565ab91cea
hex3cecbc240

16354361920 has 112 divisors (see below), whose sum is σ = 42242719680. Its totient is φ = 5994878976.

The previous prime is 16354361887. The next prime is 16354361921. The reversal of 16354361920 is 2916345361.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (16354361921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564099 + ... + 592381.

It is an arithmetic number, because the mean of its divisors is an integer number (377167140).

Almost surely, 216354361920 is an apocalyptic number.

16354361920 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 16354361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121359840).

16354361920 is an abundant number, since it is smaller than the sum of its proper divisors (25888357760).

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

16354361920 is a wasteful number, since it uses less digits than its factorization.

16354361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28452 (or 28442 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 16354361920 in words is "sixteen billion, three hundred fifty-four million, three hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 139 160 208 260 278 320 416 520 556 695 832 1040 1112 1390 1807 2080 2224 2780 3614 4160 4448 5560 7228 8896 9035 11120 14456 18070 22240 28283 28912 36140 44480 56566 57824 72280 113132 115648 141415 144560 226264 282830 289120 367679 452528 565660 578240 735358 905056 1131320 1470716 1810112 1838395 2262640 2941432 3676790 3931337 4525280 5882864 7353580 7862674 9050560 11765728 14707160 15725348 19656685 23531456 29414320 31450696 39313370 51107381 58828640 62901392 78626740 102214762 117657280 125802784 157253480 204429524 251605568 255536905 314506960 408859048 511073810 629013920 817718096 1022147620 1258027840 1635436192 2044295240 3270872384 4088590480 8177180960 16354361920