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197385866496 = 28337133153191
BaseRepresentation
bin1011011111010100011…
…1010100110100000000
3200212111011022221111000
42313311013110310000
511213221240211441
6230402224052000
720155256116350
oct2676507246400
9625434287430
10197385866496
11767901a2a95
1232308164000
13157c886b110
1497a6c40b60
155203c012b6
hex2df51d4d00

197385866496 has 1152 divisors, whose sum is σ = 759528161280. Its totient is φ = 49169203200.

The previous prime is 197385866477. The next prime is 197385866537. The reversal of 197385866496 is 694668583791.

197385866496 is a `hidden beast` number, since 1 + 9 + 7 + 38 + 586 + 6 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1973858664962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (470292480) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1033433761 + ... + 1033433951.

It is an arithmetic number, because the mean of its divisors is an integer number (659312640).

Almost surely, 2197385866496 is an apocalyptic number.

197385866496 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 197385866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379764080640).

197385866496 is an abundant number, since it is smaller than the sum of its proper divisors (562142294784).

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

197385866496 is a wasteful number, since it uses less digits than its factorization.

197385866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 197385866496 in words is "one hundred ninety-seven billion, three hundred eighty-five million, eight hundred sixty-six thousand, four hundred ninety-six".