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97028030880 = 253251131197597
BaseRepresentation
bin101101001011101010…
…0100100000110100000
3100021110001100200001100
41122113110210012200
53042203133442010
6112323555234400
710003305440334
oct1322724440640
9307401320040
1097028030880
1138170880780
121697a5a8a00
1391c3b90b31
1449a64737c4
1527cd3812c0
hex16975241a0

97028030880 has 288 divisors, whose sum is σ = 372862683648. Its totient is φ = 22763059200.

The previous prime is 97028030863. The next prime is 97028030887. The reversal of 97028030880 is 8803082079.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97028030887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392242 + ... + 589838.

It is an arithmetic number, because the mean of its divisors is an integer number (1294662096).

Almost surely, 297028030880 is an apocalyptic number.

97028030880 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 97028030880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186431341824).

97028030880 is an abundant number, since it is smaller than the sum of its proper divisors (275834652768).

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

97028030880 is a wasteful number, since it uses less digits than its factorization.

97028030880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197660 (or 197649 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 97028030880 in words is "ninety-seven billion, twenty-eight million, thirty thousand, eight hundred eighty".