Search a number
-
+
16432074353568 = 2533719319239461
BaseRepresentation
bin1110111100011110001111…
…1101000110101110100000
32011011220001111220011020110
43233013203331012232200
54123210342013303233
654540442445011320
73314115056305416
oct357074375065640
964156044804213
1016432074353568
115265892653395
121a14790553b40
139226cbb9a093
1440b460c1b2b6
151d768159b663
hexef1e3f46ba0

16432074353568 has 96 divisors (see below), whose sum is σ = 44302462323840. Its totient is φ = 5329023298560.

The previous prime is 16432074353567. The next prime is 16432074353593. The reversal of 16432074353568 is 86535347023461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×164320743535682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16432074353567) 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, 68501358 + ... + 68740818.

It is an arithmetic number, because the mean of its divisors is an integer number (461483982540).

Almost surely, 216432074353568 is an apocalyptic number.

It is an amenable number.

16432074353568 is an abundant number, since it is smaller than the sum of its proper divisors (27870387970272).

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

16432074353568 is a wasteful number, since it uses less digits than its factorization.

16432074353568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258830 (or 258822 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 16432074353568 in words is "sixteen trillion, four hundred thirty-two billion, seventy-four million, three hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 19319 38638 57957 77276 115914 154552 231828 239461 309104 463656 478922 618208 714803 718383 927312 957844 1429606 1436766 1854624 1915688 2144409 2859212 2873532 3831376 4288818 5718424 5747064 7662752 8577636 8860057 11436848 11494128 17155272 17720114 22873696 22988256 26580171 34310544 35440228 53160342 68621088 70880456 106320684 141760912 212641368 283521824 425282736 850565472 4626147059 9252294118 13878441177 18504588236 27756882354 37009176472 55513764708 74018352944 111027529416 148036705888 171167441183 222055058832 342334882366 444110117664 513502323549 684669764732 1027004647098 1369339529464 2054009294196 2738679058928 4108018588392 5477358117856 8216037176784 16432074353568