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97914967120 = 24510112118189
BaseRepresentation
bin101101100110000101…
…1111101010001010000
3100100201212021200211201
41123030023331101100
53101012212421440
6112552001320544
710034265326305
oct1331413752120
9310655250751
1097914967120
11385864a0033
1216b87636154
139305862289
144a4c18d0ac
15283117c19a
hex16cc2fd450

97914967120 has 40 divisors (see below), whose sum is σ = 229906300680. Its totient is φ = 38778201600.

The previous prime is 97914967091. The next prime is 97914967151. The reversal of 97914967120 is 2176941979.

It can be written as a sum of positive squares in 4 ways, for example, as 26403650064 + 71511317056 = 162492^2 + 267416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×979149671202 (a number of 23 digits) contains 22 as substring.

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, 6051015 + ... + 6067174.

It is an arithmetic number, because the mean of its divisors is an integer number (5747657517).

Almost surely, 297914967120 is an apocalyptic number.

It is an amenable number.

97914967120 is an abundant number, since it is smaller than the sum of its proper divisors (131991333560).

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

97914967120 is a wasteful number, since it uses less digits than its factorization.

97914967120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12118303 (or 12118297 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 55.

The spelling of 97914967120 in words is "ninety-seven billion, nine hundred fourteen million, nine hundred sixty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 12118189 24236378 48472756 60590945 96945512 121181890 193891024 242363780 484727560 969455120 1223937089 2447874178 4895748356 6119685445 9791496712 12239370890 19582993424 24478741780 48957483560 97914967120