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97471928400 = 243527115232017
BaseRepresentation
bin101101011000111000…
…1111001100001010000
3100022120222121222222020
41122301301321201100
53044110303202100
6112440013411440
710020305502240
oct1326161714120
9308528558866
1097471928400
11383793a9530
1216a83199b80
139264b31ca2
144a093c3b20
1528073165a0
hex16b1c79850

97471928400 has 480 divisors, whose sum is σ = 390217786368. Its totient is φ = 20205158400.

The previous prime is 97471928371. The next prime is 97471928401. The reversal of 97471928400 is 482917479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97471928401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 48324192 + ... + 48326208.

Almost surely, 297471928400 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 97471928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195108893184).

97471928400 is an abundant number, since it is smaller than the sum of its proper divisors (292745857968).

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

97471928400 is a wasteful number, since it uses less digits than its factorization.

97471928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 97471928400 in words is "ninety-seven billion, four hundred seventy-one million, nine hundred twenty-eight thousand, four hundred".