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5219314968 = 2337211873739
BaseRepresentation
bin1001101110001100…
…00110110100011000
3111110202001200010210
410313012012310120
541142121034333
62221524011120
7243224305500
oct46706066430
914422050123
105219314968
11223919264a
121017b30aa0
1365241956a
14377270a00
15208328a63
hex137186d18

5219314968 has 96 divisors (see below), whose sum is σ = 15195470400. Its totient is φ = 1489578048.

The previous prime is 5219314967. The next prime is 5219315011. The reversal of 5219314968 is 8694139125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219314967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394043 + ... + 1397781.

It is an arithmetic number, because the mean of its divisors is an integer number (158286150).

Almost surely, 25219314968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5219314968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597735200).

5219314968 is an abundant number, since it is smaller than the sum of its proper divisors (9976155432).

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

5219314968 is a wasteful number, since it uses less digits than its factorization.

5219314968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949 (or 4938 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 5219314968 is about 72244.8265829464. The cubic root of 5219314968 is about 1734.6206090752.

It can be divided in two parts, 52193 and 14968, that added together give a triangular number (67161 = T366).

The spelling of 5219314968 in words is "five billion, two hundred nineteen million, three hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1187 2374 3561 3739 4748 7122 7478 8309 9496 11217 14244 14956 16618 22434 24927 26173 28488 29912 33236 44868 49854 52346 58163 66472 78519 89736 99708 104692 116326 157038 174489 183211 199416 209384 232652 314076 348978 366422 465304 549633 628152 697956 732844 1099266 1395912 1465688 2198532 4397064 4438193 8876386 13314579 17752772 26629158 31067351 35505544 53258316 62134702 93202053 106516632 124269404 186404106 217471457 248538808 372808212 434942914 652414371 745616424 869885828 1304828742 1739771656 2609657484 5219314968