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4305799680 = 293571361101
BaseRepresentation
bin1000000001010010…
…10100101000000000
3102010002010021202020
410000221110220000
532304241042210
61551132121440
7211462456560
oct40051245000
912102107666
104305799680
11190a56a036
12a02006280
135380a0280
142cbbd6da0
151a302c770
hex100a54a00

4305799680 has 640 divisors, whose sum is σ = 17389886976. Its totient is φ = 884736000.

The previous prime is 4305799637. The next prime is 4305799681. The reversal of 4305799680 is 869975034.

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

It is not an unprimeable number, because it can be changed into a prime (4305799681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42631630 + ... + 42631730.

Almost surely, 24305799680 is an apocalyptic number.

4305799680 is a gapful number since it is divisible by the number (40) 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 4305799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694943488).

4305799680 is an abundant number, since it is smaller than the sum of its proper divisors (13084087296).

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

4305799680 is a wasteful number, since it uses less digits than its factorization.

4305799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 4305799680 is about 65618.5924871907. The cubic root of 4305799680 is about 1626.8640926133.

The spelling of 4305799680 in words is "four billion, three hundred five million, seven hundred ninety-nine thousand, six hundred eighty".