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4771450640 = 2451117833041
BaseRepresentation
bin1000111000110011…
…01000111100010000
3110022112022210210002
410130121220330100
534232442410030
62105244425132
7226145442545
oct43431507420
913275283702
104771450640
1120293a5540
12b11b481a8
135b06b9998
143339aabcc
151cdd5d245
hex11c668f10

4771450640 has 80 divisors (see below), whose sum is σ = 12112903296. Its totient is φ = 1733529600.

The previous prime is 4771450583. The next prime is 4771450703. The reversal of 4771450640 is 460541774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 4771450594 and 4771450603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567520 + ... + 1570560.

Almost surely, 24771450640 is an apocalyptic number.

4771450640 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 4771450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056451648).

4771450640 is an abundant number, since it is smaller than the sum of its proper divisors (7341452656).

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

4771450640 is a wasteful number, since it uses less digits than its factorization.

4771450640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 4771450640 is about 69075.6877634961. The cubic root of 4771450640 is about 1683.5143082448.

The spelling of 4771450640 in words is "four billion, seven hundred seventy-one million, four hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1783 3041 3566 6082 7132 8915 12164 14264 15205 17830 19613 24328 28528 30410 33451 35660 39226 48656 60820 66902 71320 78452 98065 121640 133804 142640 156904 167255 196130 243280 267608 313808 334510 392260 535216 669020 784520 1338040 1569040 2676080 5422103 10844206 21688412 27110515 43376824 54221030 59643133 86753648 108442060 119286266 216884120 238572532 298215665 433768240 477145064 596431330 954290128 1192862660 2385725320 4771450640