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97144734080 = 275487311681
BaseRepresentation
bin101101001111001000…
…1110000000110000000
3100021202011221210202002
41122132101300012000
53042423022442310
6112343324443132
710006223421032
oct1323621600600
9307664853662
1097144734080
11382207405a9
12169b16a94a8
139212102294
1449b7b71c52
1527d8734da5
hex169e470180

97144734080 has 64 divisors (see below), whose sum is σ = 232714248480. Its totient is φ = 38777978880.

The previous prime is 97144734073. The next prime is 97144734097. The reversal of 97144734080 is 8043744179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155840 + ... + 467520.

Almost surely, 297144734080 is an apocalyptic number.

It is a pronic number, being equal to 311680×311681.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97144734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116357124240).

97144734080 is an abundant number, since it is smaller than the sum of its proper divisors (135569514400).

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

97144734080 is a wasteful number, since it uses less digits than its factorization.

97144734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312187 (or 312175 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 97144734080 in words is "ninety-seven billion, one hundred forty-four million, seven hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 487 640 974 1948 2435 3896 4870 7792 9740 15584 19480 31168 38960 62336 77920 155840 311680 311681 623362 1246724 1558405 2493448 3116810 4986896 6233620 9973792 12467240 19947584 24934480 39895168 49868960 99737920 151788647 199475840 303577294 607154588 758943235 1214309176 1517886470 2428618352 3035772940 4857236704 6071545880 9714473408 12143091760 19428946816 24286183520 48572367040 97144734080