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12046890271590 = 236541211191021
BaseRepresentation
bin1010111101001110001010…
…0111011000001101100110
31120122200010111101201000000
42233103202213120031212
53034334012402142330
641342133123202130
72352234112521456
oct257234247301546
946580114351000
1012046890271590
11392506a550979
121426927216346
1369502b109515
142d9103301d66
1515d579799560
hexaf4e29d8366

12046890271590 has 224 divisors, whose sum is σ = 33462717436512. Its totient is φ = 3119280192000.

The previous prime is 12046890271579. The next prime is 12046890271613. The reversal of 12046890271590 is 9517209864021.

It is a happy number.

12046890271590 is a `hidden beast` number, since 1 + 2 + 0 + 46 + 8 + 9 + 0 + 2 + 7 + 1 + 590 = 666.

It is a super-2 number, since 2×120468902715902 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62970280 + ... + 63161300.

It is an arithmetic number, because the mean of its divisors is an integer number (149387131413).

Almost surely, 212046890271590 is an apocalyptic number.

12046890271590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12046890271590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731358718256).

12046890271590 is an abundant number, since it is smaller than the sum of its proper divisors (21415827164922).

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

12046890271590 is a wasteful number, since it uses less digits than its factorization.

12046890271590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191298 (or 191283 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 12046890271590 in words is "twelve trillion, forty-six billion, eight hundred ninety million, two hundred seventy-one thousand, five hundred ninety".