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197144423900928 = 2833717327785027
BaseRepresentation
bin101100110100110101000011…
…010110110010011100000000
3221212000211012212102010002000
4230310311003112302130000
5201320003240004312203
61535142521551224000
756345133415052160
oct5464650326623400
9855024185363060
10197144423900928
11578a8531824a89
121a13bab0818000
138600840a01b2a
143697babad65a0
1517bd2a3b274a3
hexb34d435b2700

197144423900928 has 576 divisors, whose sum is σ = 672553576504320. Its totient is φ = 55798561456128.

The previous prime is 197144423900867. The next prime is 197144423900929. The reversal of 197144423900928 is 829009324441791.

197144423900928 is a `hidden beast` number, since 1 + 9 + 7 + 14 + 442 + 3 + 90 + 0 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1971444239009283 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197144423900929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2318567151 + ... + 2318652177.

Almost surely, 2197144423900928 is an apocalyptic number.

197144423900928 is a gapful number since it is divisible by the number (18) 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 197144423900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336276788252160).

197144423900928 is an abundant number, since it is smaller than the sum of its proper divisors (475409152603392).

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

197144423900928 is a wasteful number, since it uses less digits than its factorization.

197144423900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85509 (or 85489 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 197144423900928 in words is "one hundred ninety-seven trillion, one hundred forty-four billion, four hundred twenty-three million, nine hundred thousand, nine hundred twenty-eight".