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4874332644 = 22322997127379
BaseRepresentation
bin1001000101000100…
…00110100111100100
3110120200220202100200
410202202012213210
534440312121034
62123401510500
7231535100226
oct44242064744
913520822320
104874332644
112081485295
12b404a2430
135c8acc1cc
1434350c416
151d7dd1a99
hex1228869e4

4874332644 has 144 divisors (see below), whose sum is σ = 13013145600. Its totient is φ = 1536288768.

The previous prime is 4874332621. The next prime is 4874332649. The reversal of 4874332644 is 4462334784.

It is a self number, because there is not a number n which added to its sum of digits gives 4874332644.

It is not an unprimeable number, because it can be changed into a prime (4874332649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12860847 + ... + 12861225.

Almost surely, 24874332644 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 4874332644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506572800).

4874332644 is an abundant number, since it is smaller than the sum of its proper divisors (8138812956).

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

4874332644 is a wasteful number, since it uses less digits than its factorization.

4874332644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 637 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 4874332644 is about 69816.4210196999. The cubic root of 4874332644 is about 1695.5283454872.

The spelling of 4874332644 in words is "four billion, eight hundred seventy-four million, three hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 97 116 127 174 194 254 261 291 348 379 381 388 508 522 582 758 762 873 1044 1137 1143 1164 1516 1524 1746 2274 2286 2813 3411 3492 3683 4548 4572 5626 6822 7366 8439 10991 11049 11252 12319 13644 14732 16878 21982 22098 24638 25317 32973 33147 33756 36763 36957 43964 44196 48133 49276 50634 65946 66294 73526 73914 96266 98919 101268 110289 110871 131892 132588 144399 147052 147828 192532 197838 220578 221742 288798 330867 357251 395676 433197 441156 443484 577596 661734 714502 866394 1066127 1071753 1323468 1395857 1429004 1732788 2132254 2143506 2791714 3198381 3215259 4187571 4264508 4287012 4668901 5583428 6396762 6430518 8375142 9337802 9595143 12562713 12793524 12861036 14006703 16750284 18675604 19190286 25125426 28013406 38380572 42020109 50250852 56026812 84040218 135398129 168080436 270796258 406194387 541592516 812388774 1218583161 1624777548 2437166322 4874332644