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191464389312 = 26371710778317
BaseRepresentation
bin1011001001010000101…
…0101011101011000000
3200022012111000201212020
42302110022223223000
511114104340424222
6223542454201440
716555444312440
oct2622412535300
9608174021766
10191464389312
1174221724599
1231135053280
1315093b36271
1493a4632120
154ea8e2965c
hex2c942abac0

191464389312 has 224 divisors, whose sum is σ = 618744780288. Its totient is φ = 51004391424.

The previous prime is 191464389289. The next prime is 191464389343. The reversal of 191464389312 is 213983464191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1914643893122 (a number of 23 digits) contains 22 as substring.

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

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, 2405578 + ... + 2483894.

Almost surely, 2191464389312 is an apocalyptic number.

191464389312 is a gapful number since it is divisible by the number (12) 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 191464389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309372390144).

191464389312 is an abundant number, since it is smaller than the sum of its proper divisors (427280390976).

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

191464389312 is a wasteful number, since it uses less digits than its factorization.

191464389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78463 (or 78453 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The spelling of 191464389312 in words is "one hundred ninety-one billion, four hundred sixty-four million, three hundred eighty-nine thousand, three hundred twelve".