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4814036688 = 243196917639
BaseRepresentation
bin1000111101111000…
…00101111011010000
3110102111110101212010
410132330011323100
534324343133223
62113405302520
7230203431246
oct43674057320
913374411763
104814036688
11205044201a
12b24264a40
135b947a626
143394d4796
151d2971393
hex11ef05ed0

4814036688 has 80 divisors (see below), whose sum is σ = 13111462400. Its totient is φ = 1517823360.

The previous prime is 4814036687. The next prime is 4814036713. The reversal of 4814036688 is 8866304184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4814036681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626373 + ... + 634011.

It is an arithmetic number, because the mean of its divisors is an integer number (163893280).

Almost surely, 24814036688 is an apocalyptic number.

4814036688 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 4814036688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555731200).

4814036688 is an abundant number, since it is smaller than the sum of its proper divisors (8297425712).

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

4814036688 is a wasteful number, since it uses less digits than its factorization.

4814036688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8360 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 4814036688 is about 69383.2594218519. The cubic root of 4814036688 is about 1688.5080361008.

The spelling of 4814036688 in words is "four billion, eight hundred fourteen million, thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 691 912 1382 2073 2764 4146 5528 7639 8292 11056 13129 15278 16584 22917 26258 30556 33168 39387 45834 52516 61112 78774 91668 105032 122224 145141 157548 183336 210064 290282 315096 366672 435423 580564 630192 870846 1161128 1741692 2322256 3483384 5278549 6966768 10557098 15835647 21114196 31671294 42228392 63342588 84456784 100292431 126685176 200584862 253370352 300877293 401169724 601754586 802339448 1203509172 1604678896 2407018344 4814036688