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97906052700 = 22345223525529
BaseRepresentation
bin101101100101110100…
…1111100111001011100
3100100201020111210120000
41123023221330321130
53101002422141300
6112551042254300
710034126500611
oct1331351747134
9310636453500
1097906052700
1138581461545
1216b84657390
139303a60881
144a4ad0c508
1528304bac00
hex16cba7ce5c

97906052700 has 180 divisors, whose sum is σ = 331172189040. Its totient is φ = 24973090560.

The previous prime is 97906052687. The next prime is 97906052701. The reversal of 97906052700 is 725060979.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97906052701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76465 + ... + 449064.

Almost surely, 297906052700 is an apocalyptic number.

97906052700 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 97906052700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165586094520).

97906052700 is an abundant number, since it is smaller than the sum of its proper divisors (233266136340).

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

97906052700 is a wasteful number, since it uses less digits than its factorization.

97906052700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525578 (or 525562 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 97906052700 in words is "ninety-seven billion, nine hundred six million, fifty-two thousand, seven hundred".