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537282027672 = 233133197572683
BaseRepresentation
bin1111101000110001000…
…00010010000010011000
31220100211002220221122020
413310120200102002120
532300323144341142
61050453550254440
753550230611515
oct7643040220230
91810732827566
10537282027672
11197950774715
12881667b7420
133b886093390
141c00c84030c
15de98bd4cec
hex7d18812098

537282027672 has 128 divisors (see below), whose sum is σ = 1508587100160. Its totient is φ = 158335119360.

The previous prime is 537282027631. The next prime is 537282027677. The reversal of 537282027672 is 276720282735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537282027677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651843 + ... + 1224525.

It is an arithmetic number, because the mean of its divisors is an integer number (11785836720).

Almost surely, 2537282027672 is an apocalyptic number.

537282027672 is a gapful number since it is divisible by the number (52) 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 537282027672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754293550080).

537282027672 is an abundant number, since it is smaller than the sum of its proper divisors (971305072488).

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

537282027672 is a wasteful number, since it uses less digits than its factorization.

537282027672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572833 (or 572829 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 537282027672 in words is "five hundred thirty-seven billion, two hundred eighty-two million, twenty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 97 104 124 156 186 194 248 291 312 372 388 403 582 744 776 806 1164 1209 1261 1612 2328 2418 2522 3007 3224 3783 4836 5044 6014 7566 9021 9672 10088 12028 15132 18042 24056 30264 36084 39091 72168 78182 117273 156364 234546 312728 469092 572683 938184 1145366 1718049 2290732 3436098 4581464 6872196 7444879 13744392 14889758 17753173 22334637 29779516 35506346 44669274 53259519 55550251 59559032 71012692 89338548 106519038 111100502 142025384 166650753 178677096 213038076 222201004 230791249 333301506 426076152 444402008 461582498 666603012 692373747 722153263 923164996 1333206024 1384747494 1444306526 1722057781 1846329992 2166459789 2769494988 2888613052 3444115562 4332919578 5166173343 5538989976 5777226104 6888231124 8665839156 10332346686 13776462248 17331678312 20664693372 22386751153 41329386744 44773502306 67160253459 89547004612 134320506918 179094009224 268641013836 537282027672