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97328770560 = 293557231103
BaseRepresentation
bin101101010100100111…
…1110010111000000000
3100022020000020211100000
41122221033302320000
53043312131124220
6112413501200000
710013616620400
oct1325117627000
9308200224300
1097328770560
113830560a96a
1216a43260000
13924128a4c8
1449d439a800
1527e9989390
hex16a93f2e00

97328770560 has 1440 divisors, whose sum is σ = 423824873472. Its totient is φ = 21319925760.

The previous prime is 97328770559. The next prime is 97328770589. The reversal of 97328770560 is 6507782379.

97328770560 is a `hidden beast` number, since 9 + 7 + 3 + 2 + 8 + 7 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×973287705602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97328770497 and 97328770506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 944939469 + ... + 944939571.

Almost surely, 297328770560 is an apocalyptic number.

97328770560 is a gapful number since it is divisible by the number (90) 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 97328770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211912436736).

97328770560 is an abundant number, since it is smaller than the sum of its proper divisors (326496102912).

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

97328770560 is a wasteful number, since it uses less digits than its factorization.

97328770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 97328770560 in words is "ninety-seven billion, three hundred twenty-eight million, seven hundred seventy thousand, five hundred sixty".