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196784354016 = 25331919162761
BaseRepresentation
bin1011011101000101000…
…0101111001011100000
3200210221020110221111000
42313101100233023200
511211003243312031
6230222415352000
720134333260555
oct2672120571340
9623836427430
10196784354016
1176501701838
123217a822600
1315731062c83
14974adc2a2c
1551baed53e6
hex2dd142f2e0

196784354016 has 192 divisors, whose sum is σ = 607335321600. Its totient is φ = 61816089600.

The previous prime is 196784353999. The next prime is 196784354033. The reversal of 196784354016 is 610453487691.

196784354016 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 84 + 3 + 540 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (196784353999) and next prime (196784354033).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3104076 + ... + 3166836.

It is an arithmetic number, because the mean of its divisors is an integer number (3163204800).

Almost surely, 2196784354016 is an apocalyptic number.

196784354016 is a gapful number since it is divisible by the number (16) 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 196784354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303667660800).

196784354016 is an abundant number, since it is smaller than the sum of its proper divisors (410550967584).

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

196784354016 is a wasteful number, since it uses less digits than its factorization.

196784354016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62990 (or 62976 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 196784354016 in words is "one hundred ninety-six billion, seven hundred eighty-four million, three hundred fifty-four thousand, sixteen".