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216097845432 = 233713710698783
BaseRepresentation
bin1100100101000001101…
…1110111000010111000
3202122210020012221222220
43021100123313002320
512020032022023212
6243135102444040
721420051243660
oct3112033670270
9678706187886
10216097845432
1183712666797
1235a6a893620
13174bb4432c1
14a6600431a0
15594b84638c
hex32506f70b8

216097845432 has 128 divisors (see below), whose sum is σ = 622581811200. Its totient is φ = 61227260928.

The previous prime is 216097845421. The next prime is 216097845443. The reversal of 216097845432 is 234548790612.

It is an interprime number because it is at equal distance from previous prime (216097845421) and next prime (216097845443).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24599713 + ... + 24608495.

It is an arithmetic number, because the mean of its divisors is an integer number (4863920400).

It is a 1-persistent number, because it is pandigital, but 2⋅216097845432 = 432195690864 is not.

Almost surely, 2216097845432 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 216097845432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311290905600).

216097845432 is an abundant number, since it is smaller than the sum of its proper divisors (406483965768).

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

216097845432 is a wasteful number, since it uses less digits than its factorization.

216097845432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10005 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 216097845432 in words is "two hundred sixteen billion, ninety-seven million, eight hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1069 1096 1644 1918 2138 2877 3207 3288 3836 4276 5754 6414 7483 7672 8552 8783 11508 12828 14966 17566 22449 23016 25656 26349 29932 35132 44898 52698 59864 61481 70264 89796 105396 122962 146453 179592 184443 210792 245924 292906 368886 439359 491848 585812 737772 878718 1025171 1171624 1203271 1475544 1757436 2050342 2406542 3075513 3514872 3609813 4100684 4813084 6151026 7219626 8201368 8422897 9389027 9626168 12302052 14439252 16845794 18778054 24604104 25268691 28167081 28878504 33691588 37556108 50537382 56334162 65723189 67383176 75112216 101074764 112668324 131446378 197169567 202149528 225336648 262892756 394339134 525785512 788678268 1286296699 1577356536 2572593398 3858890097 5145186796 7717780194 9004076893 10290373592 15435560388 18008153786 27012230679 30871120776 36016307572 54024461358 72032615144 108048922716 216097845432