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197468264448 = 21134713103127
BaseRepresentation
bin1011011111101000000…
…1101001100000000000
3200212200220101012020000
42313322001221200000
511213403333430243
6230414330120000
720160306360540
oct2677201514000
9625626335200
10197468264448
1176822761874
123232b880000
131580c95aac0
1497b3b6d320
15520b07a5d3
hex2dfa069800

197468264448 has 960 divisors, whose sum is σ = 738755297280. Its totient is φ = 51167821824.

The previous prime is 197468264447. The next prime is 197468264449. The reversal of 197468264448 is 844462864791.

197468264448 is a `hidden beast` number, since 1 + 9 + 74 + 68 + 2 + 64 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (197468264447) and next prime (197468264449).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197468264447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1554868161 + ... + 1554868287.

It is an arithmetic number, because the mean of its divisors is an integer number (769536768).

Almost surely, 2197468264448 is an apocalyptic number.

197468264448 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 197468264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369377648640).

197468264448 is an abundant number, since it is smaller than the sum of its proper divisors (541287032832).

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

197468264448 is a wasteful number, since it uses less digits than its factorization.

197468264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 197468264448 in words is "one hundred ninety-seven billion, four hundred sixty-eight million, two hundred sixty-four thousand, four hundred forty-eight".