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4814810688 = 263157211757
BaseRepresentation
bin1000111101111110…
…00010111001000000
3110102112220201120210
410132333002321000
534330042420223
62113434034120
7230213133642
oct43677027100
913375821523
104814810688
112050920596
12b24578940
135b968ba0c
14339656892
151d2a75893
hex11efc2e40

4814810688 has 112 divisors (see below), whose sum is σ = 12898103744. Its totient is φ = 1585059840.

The previous prime is 4814810683. The next prime is 4814810713. The reversal of 4814810688 is 8860184184.

It is a happy number.

It is a super-2 number, since 2×48148106882 = 46364803922558066688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4814810683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360006 + ... + 6360762.

Almost surely, 24814810688 is an apocalyptic number.

4814810688 is a gapful number since it is divisible by the number (48) 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 4814810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449051872).

4814810688 is an abundant number, since it is smaller than the sum of its proper divisors (8083293056).

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

4814810688 is a wasteful number, since it uses less digits than its factorization.

4814810688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The square root of 4814810688 is about 69388.8369119990. The cubic root of 4814810688 is about 1688.5985239298.

The spelling of 4814810688 in words is "four billion, eight hundred fourteen million, eight hundred ten thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 211 314 422 471 628 633 757 844 942 1256 1266 1514 1688 1884 2271 2512 2532 3028 3376 3768 4542 5024 5064 6056 6752 7536 9084 10048 10128 12112 13504 15072 18168 20256 24224 30144 33127 36336 40512 48448 66254 72672 99381 118849 132508 145344 159727 198762 237698 265016 319454 356547 397524 475396 479181 530032 638908 713094 795048 950792 958362 1060064 1277816 1426188 1590096 1901584 1916724 2120128 2555632 2852376 3180192 3803168 3833448 5111264 5704752 6360384 7606336 7666896 10222528 11409504 15333792 22819008 25077139 30667584 50154278 75231417 100308556 150462834 200617112 300925668 401234224 601851336 802468448 1203702672 1604936896 2407405344 4814810688