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97073152000 = 214531131139
BaseRepresentation
bin101101001101000000…
…0101100000000000000
3100021120012021001120221
41122122000230000000
53042301211331000
6112332250312424
710004364114646
oct1323200540000
9307505231527
1097073152000
1138194299960
1216991728714
13920032b616
1449ac45b196
1527d22e561a
hex169a02c000

97073152000 has 480 divisors, whose sum is σ = 274802411520. Its totient is φ = 33914880000.

The previous prime is 97073151991. The next prime is 97073152013. The reversal of 97073152000 is 25137079.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698367931 + ... + 698368069.

It is an arithmetic number, because the mean of its divisors is an integer number (572505024).

Almost surely, 297073152000 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 97073152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401205760).

97073152000 is an abundant number, since it is smaller than the sum of its proper divisors (177729259520).

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

97073152000 is a wasteful number, since it uses less digits than its factorization.

97073152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

Adding to 97073152000 its reverse (25137079), we get a palindrome (97098289079).

The spelling of 97073152000 in words is "ninety-seven billion, seventy-three million, one hundred fifty-two thousand".