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238949679072 = 253131271507607
BaseRepresentation
bin1101111010001010000…
…0101011111111100000
3211211202210222101112210
43132202200223333200
512403332104212242
6301434424522120
723156252521446
oct3364240537740
9754683871483
10238949679072
1192379956615
123a387920340
13196c08c6060
14b7cada2b96
156337b39d9c
hex37a282bfe0

238949679072 has 96 divisors (see below), whose sum is σ = 680811651072. Its totient is φ = 72944008704.

The previous prime is 238949679047. The next prime is 238949679131. The reversal of 238949679072 is 270976949832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2389496790722 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 238949678994 and 238949679012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595308 + ... + 912299.

It is an arithmetic number, because the mean of its divisors is an integer number (7091788032).

Almost surely, 2238949679072 is an apocalyptic number.

It is an amenable number.

238949679072 is an abundant number, since it is smaller than the sum of its proper divisors (441861972000).

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

238949679072 is a wasteful number, since it uses less digits than its factorization.

238949679072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507760 (or 1507752 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 238949679072 in words is "two hundred thirty-eight billion, nine hundred forty-nine million, six hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 3048 3302 4064 4953 6096 6604 9906 12192 13208 19812 26416 39624 52832 79248 158496 1507607 3015214 4522821 6030428 9045642 12060856 18091284 19598891 24121712 36182568 39197782 48243424 58796673 72365136 78395564 117593346 144730272 156791128 191466089 235186692 313582256 382932178 470373384 574398267 627164512 765864356 940746768 1148796534 1531728712 1881493536 2297593068 2489059157 3063457424 4595186136 4978118314 6126914848 7467177471 9190372272 9956236628 14934354942 18380744544 19912473256 29868709884 39824946512 59737419768 79649893024 119474839536 238949679072