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74838628488 = 2331317348823
BaseRepresentation
bin100010110110010111…
…0101101100010001000
321011011122002020100010
41011230232231202020
52211232142102423
654214055311520
75256366563151
oct1055456554210
9234148066303
1074838628488
1129814500298
121260737b5a0
137098a25430
14389d4ac928
151e302dd693
hex116cbad888

74838628488 has 128 divisors (see below), whose sum is σ = 214083475200. Its totient is φ = 21672281088.

The previous prime is 74838628483. The next prime is 74838628489. The reversal of 74838628488 is 88482683847.

It is a super-2 number, since 2×748386284882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (74838628483) 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 31 ways as a sum of consecutive naturals, for example, 1508445 + ... + 1557267.

It is an arithmetic number, because the mean of its divisors is an integer number (1672527150).

Almost surely, 274838628488 is an apocalyptic number.

74838628488 is a gapful number since it is divisible by the number (78) 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 74838628488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107041737600).

74838628488 is an abundant number, since it is smaller than the sum of its proper divisors (139244846712).

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

74838628488 is a wasteful number, since it uses less digits than its factorization.

74838628488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48896 (or 48858 counting only the distinct ones).

The product of its digits is 132120576, while the sum is 66.

The spelling of 74838628488 in words is "seventy-four billion, eight hundred thirty-eight million, six hundred twenty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 289 312 408 442 578 663 867 884 1156 1326 1734 1768 2312 2652 3468 3757 4913 5304 6936 7514 9826 11271 14739 15028 19652 22542 29478 30056 39304 45084 48823 58956 63869 90168 97646 117912 127738 146469 191607 195292 255476 292938 383214 390584 510952 585876 634699 766428 829991 1171752 1269398 1532856 1659982 1904097 2489973 2538796 3319964 3808194 4979946 5077592 6639928 7616388 9959892 10789883 14109847 15232776 19919784 21579766 28219694 32369649 42329541 43159532 56439388 64739298 84659082 86319064 112878776 129478596 169318164 183428011 239867399 258957192 338636328 366856022 479734798 550284033 719602197 733712044 959469596 1100568066 1439204394 1467424088 1918939192 2201136132 2878408788 3118276187 4402272264 5756817576 6236552374 9354828561 12473104748 18709657122 24946209496 37419314244 74838628488