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201930186112 = 279725916277
BaseRepresentation
bin1011110000001111111…
…0100001110110000000
3201022012212021022001221
42330003332201312000
511302023111423422
6232433200404424
720406006155524
oct2740376416600
9638185238057
10201930186112
1178702364636
1233176016714
1316071191635
149ab85a5d84
1553bcb463c7
hex2f03fa1d80

201930186112 has 64 divisors (see below), whose sum is σ = 406651674240. Its totient is φ = 99869736960.

The previous prime is 201930186079. The next prime is 201930186113. The reversal of 201930186112 is 211681039102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201930186113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32166718 + ... + 32172994.

It is an arithmetic number, because the mean of its divisors is an integer number (6353932410).

Almost surely, 2201930186112 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 201930186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203325837120).

201930186112 is an abundant number, since it is smaller than the sum of its proper divisors (204721488128).

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

201930186112 is an equidigital number, since it uses as much as digits as its factorization.

201930186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8979 (or 8967 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 201930186112 in words is "two hundred one billion, nine hundred thirty million, one hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 2591 3104 5182 6208 6277 10364 12416 12554 20728 25108 41456 50216 82912 100432 165824 200864 251327 331648 401728 502654 608869 803456 1005308 1217738 2010616 2435476 4021232 4870952 8042464 9741904 16084928 16263707 19483808 32169856 32527414 38967616 65054828 77935232 130109656 260219312 520438624 1040877248 1577579579 2081754496 3155159158 6310318316 12620636632 25241273264 50482546528 100965093056 201930186112