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97018548480 = 28325717223181
BaseRepresentation
bin101101001011011000…
…0011001000100000000
3100021102101111220122100
41122112300121010000
53042143222022410
6112323020110400
710003132025010
oct1322660310400
9307371456570
1097018548480
1138166494487
1216977395400
1391c1c20a49
1449a50c5c40
1527cc60b8c0
hex1696c19100

97018548480 has 1296 divisors, whose sum is σ = 427588971264. Its totient is φ = 19853475840.

The previous prime is 97018548469. The next prime is 97018548499. The reversal of 97018548480 is 8484581079.

97018548480 is a `hidden beast` number, since 9 + 7 + 0 + 1 + 85 + 484 + 80 = 666.

It is a super-2 number, since 2×970185484802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 536013990 + ... + 536014170.

Almost surely, 297018548480 is an apocalyptic number.

97018548480 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 97018548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213794485632).

97018548480 is an abundant number, since it is smaller than the sum of its proper divisors (330570422784).

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

97018548480 is a wasteful number, since it uses less digits than its factorization.

97018548480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 97018548480 in words is "ninety-seven billion, eighteen million, five hundred forty-eight thousand, four hundred eighty".