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97383475200 = 2113521157637
BaseRepresentation
bin101101010110010000…
…0011110100000000000
3100022100211012002222210
41122230200132200000
53043420132201300
6112423133502120
710015152611214
oct1325440364000
9308324162883
1097383475200
1138333484310
1216a59641940
13924c70210b
1449db75a944
1527ee693050
hex16ac81e800

97383475200 has 288 divisors, whose sum is σ = 351209083680. Its totient is φ = 23607705600.

The previous prime is 97383475187. The next prime is 97383475213. The reversal of 97383475200 is 257438379.

It is an interprime number because it is at equal distance from previous prime (97383475187) and next prime (97383475213).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97383475200.

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 23 ways as a sum of consecutive naturals, for example, 1660782 + ... + 1718418.

It is an arithmetic number, because the mean of its divisors is an integer number (1219475985).

Almost surely, 297383475200 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 97383475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175604541840).

97383475200 is an abundant number, since it is smaller than the sum of its proper divisors (253825608480).

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

97383475200 is a wasteful number, since it uses less digits than its factorization.

97383475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57683 (or 57658 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 97383475200 in words is "ninety-seven billion, three hundred eighty-three million, four hundred seventy-five thousand, two hundred".