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30719700480 = 293573118433
BaseRepresentation
bin11100100111000010…
…010110111000000000
32221021220112110211110
4130213002112320000
51000403220403410
622040141443320
72135156100660
oct344702267000
987256473743
1030719700480
1112034519717
125b53b70540
132b87511481
1416b5c701a0
15bebddd720
hex727096e00

30719700480 has 320 divisors, whose sum is σ = 115863441408. Its totient is φ = 6794772480.

The previous prime is 30719700461. The next prime is 30719700481. The reversal of 30719700480 is 8400791703.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30719700481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657344 + ... + 1675776.

Almost surely, 230719700480 is an apocalyptic number.

30719700480 is a gapful number since it is divisible by the number (30) 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 30719700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57931720704).

30719700480 is an abundant number, since it is smaller than the sum of its proper divisors (85143740928).

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

30719700480 is a wasteful number, since it uses less digits than its factorization.

30719700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18497 (or 18481 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 30719700480 in words is "thirty billion, seven hundred nineteen million, seven hundred thousand, four hundred eighty".