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216035725312 = 2121141831409
BaseRepresentation
bin1100100100110010111…
…0111001000000000000
3202122121220022221012201
43021030232321000000
512014420121202222
6243125003202544
721415365236521
oct3111456710000
9678556287181
10216035725312
1183690597a50
1235a51b16454
13174ab603334
14a655ab2848
155946175427
hex324cbb9000

216035725312 has 208 divisors, whose sum is σ = 488951588160. Its totient is φ = 94581555200.

The previous prime is 216035725307. The next prime is 216035725343. The reversal of 216035725312 is 213527530612.

It is a happy number.

It is a super-2 number, since 2×2160357253122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153324864 + ... + 153326272.

Almost surely, 2216035725312 is an apocalyptic number.

216035725312 is a gapful number since it is divisible by the number (22) 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 216035725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244475794080).

216035725312 is an abundant number, since it is smaller than the sum of its proper divisors (272915862848).

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

216035725312 is a wasteful number, since it uses less digits than its factorization.

216035725312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 216035725312 in words is "two hundred sixteen billion, thirty-five million, seven hundred twenty-five thousand, three hundred twelve".