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97079603776 = 26172292792
BaseRepresentation
bin101101001101001100…
…1010011001001000000
3100021120122101211202121
41122122121103021000
53042304334310101
6112333040454024
710004503005541
oct1323231231100
9307518354677
1097079603776
11381979a6201
121699391a314
13920177a13c
1449ad25a4c8
1527d2b6c0a1
hex169a653240

97079603776 has 189 divisors, whose sum is σ = 214657487499. Its totient is φ = 43550846976.

The previous prime is 97079603771. The next prime is 97079603821. The reversal of 97079603776 is 67730697079.

The square root of 97079603776 is 311576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9596161600 + 87483442176 = 97960^2 + 295776^2 .

It is a super-3 number, since 3×970796037763 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97079603771) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1228855705 + ... + 1228855783.

Almost surely, 297079603776 is an apocalyptic number.

97079603776 is the 311576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97079603776

97079603776 is an abundant number, since it is smaller than the sum of its proper divisors (117577883723).

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

97079603776 is an equidigital number, since it uses as much as digits as its factorization.

97079603776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21003948, while the sum is 61.

The spelling of 97079603776 in words is "ninety-seven billion, seventy-nine million, six hundred three thousand, seven hundred seventy-six".