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196821397080 = 23325711174161167
BaseRepresentation
bin1011011101001101111…
…0000010111001011000
3200211000211011221000100
42313103132002321120
511211042234201310
6230230221335400
720135263162050
oct2672336027130
9624024157010
10196821397080
1176520602840
123218b107560
1315738932949
149751ca6560
1551be3a0ec0
hex2dd3782e58

196821397080 has 1536 divisors, whose sum is σ = 884463390720. Its totient is φ = 36716544000.

The previous prime is 196821397079. The next prime is 196821397139. The reversal of 196821397080 is 80793128691.

It is a super-3 number, since 3×1968213970803 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1178571157 + ... + 1178571323.

It is an arithmetic number, because the mean of its divisors is an integer number (575822520).

Almost surely, 2196821397080 is an apocalyptic number.

196821397080 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 196821397080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442231695360).

196821397080 is an abundant number, since it is smaller than the sum of its proper divisors (687641993640).

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

196821397080 is a wasteful number, since it uses less digits than its factorization.

196821397080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 196821397080 in words is "one hundred ninety-six billion, eight hundred twenty-one million, three hundred ninety-seven thousand, eighty".