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16969720320 = 293757433
BaseRepresentation
bin11111100110111100…
…10110001000000000
31121210122112010000000
433303132112020000
5234223222022240
611443520000000
71140345146160
oct176336261000
947718463000
1016969720320
117218a68053
123357160000
1317a5951037
14b6da7a5a0
15694be5430
hex3f3796200

16969720320 has 640 divisors, whose sum is σ = 69900526080. Its totient is φ = 3869835264.

The previous prime is 16969720277. The next prime is 16969720349. The reversal of 16969720320 is 2302796961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39190824 + ... + 39191256.

It is an arithmetic number, because the mean of its divisors is an integer number (109219572).

Almost surely, 216969720320 is an apocalyptic number.

16969720320 is a gapful number since it is divisible by the number (10) 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 16969720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34950263040).

16969720320 is an abundant number, since it is smaller than the sum of its proper divisors (52930805760).

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

16969720320 is an frugal number, since it uses more digits than its factorization.

16969720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 16969720320 in words is "sixteen billion, nine hundred sixty-nine million, seven hundred twenty thousand, three hundred twenty".