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97803620544 = 26372192323789
BaseRepresentation
bin101101100010110001…
…1001101000011000000
3100100110002202201001110
41123011203031003000
53100300211324134
6112532543003320
710031444025600
oct1330543150300
9310402681043
1097803620544
1138529659773
1216b56299540
1392b8778026
144a3b486c00
1528264d57e9
hex16c58cd0c0

97803620544 has 336 divisors, whose sum is σ = 330654355200. Its totient is φ = 25321089024.

The previous prime is 97803620477. The next prime is 97803620549. The reversal of 97803620544 is 44502630879.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 97803620493 and 97803620502.

It is not an unprimeable number, because it can be changed into a prime (97803620549) 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, 4099402 + ... + 4123190.

Almost surely, 297803620544 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 97803620544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165327177600).

97803620544 is an abundant number, since it is smaller than the sum of its proper divisors (232850734656).

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

97803620544 is a wasteful number, since it uses less digits than its factorization.

97803620544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23860 (or 23843 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 97803620544 in words is "ninety-seven billion, eight hundred three million, six hundred twenty thousand, five hundred forty-four".