Search a number
-
+
16453212447232 = 291116339894493
BaseRepresentation
bin1110111101101100111111…
…1000100010001000000000
32011020220121122221120111101
43233123033320202020000
54124032134341302412
654554300151424144
73315463641163561
oct357331770421000
964226548846441
1016453212447232
11527384a545a90
121a188ab685054
139246ba2a2602
1440c4a831a168
151d7ebc1c5457
hexef6cfe22200

16453212447232 has 160 divisors (see below), whose sum is σ = 36099957579840. Its totient is φ = 7429333893120.

The previous prime is 16453212447163. The next prime is 16453212447239. The reversal of 16453212447232 is 23274421235461.

It is not an unprimeable number, because it can be changed into a prime (16453212447239) 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, 3661963578 + ... + 3661968070.

It is an arithmetic number, because the mean of its divisors is an integer number (225624734874).

Almost surely, 216453212447232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16453212447232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049978789920).

16453212447232 is an abundant number, since it is smaller than the sum of its proper divisors (19646745132608).

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

16453212447232 is a wasteful number, since it uses less digits than its factorization.

16453212447232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8658 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The spelling of 16453212447232 in words is "sixteen trillion, four hundred fifty-three billion, two hundred twelve million, four hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 256 326 352 512 652 704 1304 1408 1793 2608 2816 3586 3989 4493 5216 5632 7172 7978 8986 10432 14344 15956 17972 20864 28688 31912 35944 41728 43879 49423 57376 63824 71888 83456 87758 98846 114752 127648 143776 175516 197692 229504 255296 287552 351032 395384 459008 510592 575104 650207 702064 732359 790768 918016 1021184 1150208 1300414 1404128 1464718 1581536 2042368 2300416 2600828 2808256 2929436 3163072 5201656 5616512 5858872 6326144 7152277 8055949 10403312 11233024 11717744 12652288 14304554 16111898 17922577 20806624 22466048 23435488 25304576 28609108 32223796 35845154 41613248 46870976 57218216 64447592 71690308 83226496 93741952 114436432 128895184 143380616 166452992 187483904 197148347 228872864 257790368 286761232 332905984 374967808 394296694 457745728 515580736 573522464 788593388 915491456 1031161472 1147044928 1577186776 1830982912 2062322944 2294089856 2921380051 3154373552 3661965824 4124645888 4588179712 5842760102 6308747104 9176359424 11685520204 12617494208 23371040408 25234988416 32135180561 46742080816 50469976832 64270361122 93484161632 100939953664 128540722244 186968323264 257081444488 373936646528 514162888976 747873293056 1028325777952 1495746586112 2056651555904 4113303111808 8226606223616 16453212447232