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897997430400 = 27352735937223
BaseRepresentation
bin11010001000101001101…
…00010101111010000000
310011211212222121000011220
431010110310111322000
5104203044320233100
61524311225235040
7121610133134130
oct15042464257200
93154788530156
10897997430400
113169251586a4
12126055632a80
13668b0922295
143166b45cac0
151855b80caa0
hexd114d15e80

897997430400 has 384 divisors, whose sum is σ = 3389825894400. Its totient is φ = 204679311360.

The previous prime is 897997430327. The next prime is 897997430431. The reversal of 897997430400 is 4034799798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24106189 + ... + 24143411.

It is an arithmetic number, because the mean of its divisors is an integer number (8827671600).

Almost surely, 2897997430400 is an apocalyptic number.

897997430400 is a gapful number since it is divisible by the number (80) 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 897997430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694912947200).

897997430400 is an abundant number, since it is smaller than the sum of its proper divisors (2491828464000).

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

897997430400 is a wasteful number, since it uses less digits than its factorization.

897997430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37616 (or 37599 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 897997430400 in words is "eight hundred ninety-seven billion, nine hundred ninety-seven million, four hundred thirty thousand, four hundred".