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97349091840 = 2934572111367
BaseRepresentation
bin101101010101001110…
…1010100001000000000
3100022021102111020220000
41122222131110020000
53043332331414330
6112415504520000
710014254425200
oct1325235241000
9308242436800
1097349091840
113831602a610
1216a4a020000
139245553c30
1449d6d6a400
1527eb650560
hex16aa754200

97349091840 has 2400 divisors, whose sum is σ = 483621171264. Its totient is φ = 18393661440.

The previous prime is 97349091817. The next prime is 97349091857. The reversal of 97349091840 is 4819094379.

97349091840 is a `hidden beast` number, since 9 + 73 + 490 + 9 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1452971487 + ... + 1452971553.

Almost surely, 297349091840 is an apocalyptic number.

97349091840 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 97349091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241810585632).

97349091840 is an abundant number, since it is smaller than the sum of its proper divisors (386272079424).

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

97349091840 is a wasteful number, since it uses less digits than its factorization.

97349091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97349091840 in words is "ninety-seven billion, three hundred forty-nine million, ninety-one thousand, eight hundred forty".