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97094132952 = 23347269331963
BaseRepresentation
bin101101001101101000…
…0101110010011011000
3100021121122202000001020
41122123100232103120
53042322044223302
6112334320122440
710005040340625
oct1323320562330
9307548660036
1097094132952
11381a511a193
1216998766420
13920479639b
1449b115d34c
1527d408bebc
hex169b42e4d8

97094132952 has 64 divisors (see below), whose sum is σ = 247999726080. Its totient is φ = 31663347072.

The previous prime is 97094132939. The next prime is 97094132957. The reversal of 97094132952 is 25923149079.

It is a junction number, because it is equal to n+sod(n) for n = 97094132895 and 97094132904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97094132957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3021723 + ... + 3053685.

It is an arithmetic number, because the mean of its divisors is an integer number (3874995720).

Almost surely, 297094132952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97094132952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123999863040).

97094132952 is an abundant number, since it is smaller than the sum of its proper divisors (150905593128).

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

97094132952 is a wasteful number, since it uses less digits than its factorization.

97094132952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34712 (or 34708 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 97094132952 in words is "ninety-seven billion, ninety-four million, one hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2693 5386 8079 10772 16158 21544 31963 32316 63926 64632 95889 126571 127852 191778 253142 255704 379713 383556 506284 759426 767112 1012568 1502261 1518852 3004522 3037704 4506783 6009044 9013566 12018088 18027132 36054264 86076359 172152718 258229077 344305436 516458154 688610872 1032916308 2065832616 4045588873 8091177746 12136766619 16182355492 24273533238 32364710984 48547066476 97094132952