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196142211720 = 2333572131731541
BaseRepresentation
bin1011011010101011111…
…1001010001010001000
3200202021111011201212000
42312222333022022020
511203144401233340
6230035000151000
720112405201600
oct2665277121210
9622244151760
10196142211720
117620218a824
123201b768460
131565b000710
1496c99c9c00
15517e940d30
hex2daafca288

196142211720 has 1536 divisors, whose sum is σ = 896865177600. Its totient is φ = 37623398400.

The previous prime is 196142211701. The next prime is 196142211739. The reversal of 196142211720 is 27112241691.

196142211720 is a `hidden beast` number, since 1 + 9 + 61 + 422 + 1 + 172 + 0 = 666.

196142211720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (196142211701) and next prime (196142211739).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 362554650 + ... + 362555190.

It is an arithmetic number, because the mean of its divisors is an integer number (583896600).

Almost surely, 2196142211720 is an apocalyptic number.

196142211720 is a gapful number since it is divisible by the number (10) 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 196142211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448432588800).

196142211720 is an abundant number, since it is smaller than the sum of its proper divisors (700722965880).

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

196142211720 is a wasteful number, since it uses less digits than its factorization.

196142211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 196142211720 in words is "one hundred ninety-six billion, one hundred forty-two million, two hundred eleven thousand, seven hundred twenty".