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216250396656 = 2437171943149311
BaseRepresentation
bin1100100101100110000…
…1110010111111110000
3202200011212021100221020
43021121201302333300
512020340100143111
6243202152255440
721423613020510
oct3113141627760
9680155240836
10216250396656
1183790790788
1235ab19a1580
1317513c264b8
14a6763d3840
155959e2b906
hex3259872ff0

216250396656 has 640 divisors, whose sum is σ = 735381504000. Its totient is φ = 53276590080.

The previous prime is 216250396651. The next prime is 216250396669. The reversal of 216250396656 is 656693052612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 216250396599 and 216250396608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216250396651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 695338741 + ... + 695339051.

It is an arithmetic number, because the mean of its divisors is an integer number (1149033600).

Almost surely, 2216250396656 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 216250396656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367690752000).

216250396656 is an abundant number, since it is smaller than the sum of its proper divisors (519131107344).

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

216250396656 is a wasteful number, since it uses less digits than its factorization.

216250396656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 216250396656 in words is "two hundred sixteen billion, two hundred fifty million, three hundred ninety-six thousand, six hundred fifty-six".