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5158222344 = 2333112974861
BaseRepresentation
bin1001100110111010…
…00011101000001000
3111022111002211211000
410303131003220020
541031001103334
62211502335000
7241553111052
oct46335035010
914274084730
105158222344
112207755880
12bbb58a460
13642879192
1436d0ca8d2
15202cac299
hex133743a08

5158222344 has 128 divisors (see below), whose sum is σ = 16170192000. Its totient is φ = 1509177600.

The previous prime is 5158222319. The next prime is 5158222361. The reversal of 5158222344 is 4432228515.

5158222344 is a `hidden beast` number, since 51 + 582 + 2 + 23 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5158222299 and 5158222308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31474 + ... + 106334.

It is an arithmetic number, because the mean of its divisors is an integer number (126329625).

Almost surely, 25158222344 is an apocalyptic number.

5158222344 is a gapful number since it is divisible by the number (54) 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 5158222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085096000).

5158222344 is an abundant number, since it is smaller than the sum of its proper divisors (11011969656).

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

5158222344 is a wasteful number, since it uses less digits than its factorization.

5158222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74916 (or 74906 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 5158222344 is about 71820.7654094552. The cubic root of 5158222344 is about 1727.8260579158.

The spelling of 5158222344 in words is "five billion, one hundred fifty-eight million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1914 2088 2376 2552 2871 3132 3828 5742 6264 7656 8613 11484 17226 22968 34452 68904 74861 149722 224583 299444 449166 598888 673749 823471 898332 1347498 1646942 1796664 2021247 2170969 2470413 2694996 3293884 4042494 4341938 4940826 5389992 6512907 6587768 7411239 8084988 8683876 9881652 13025814 14822478 16169976 17367752 19538721 19763304 22233717 23880659 26051628 29644956 39077442 44467434 47761318 52103256 58616163 59289912 71641977 78154884 88934868 95522636 117232326 143283954 156309768 177869736 191045272 214925931 234464652 286567908 429851862 468929304 573135816 644777793 859703724 1289555586 1719407448 2579111172 5158222344