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138647746332 = 22342324177201
BaseRepresentation
bin1000000100100000001…
…1001011011100011100
3111020212121012021110000
42001020003023130130
54232422310340312
6143405514214300
713005551253534
oct2011003133434
9436777167400
10138647746332
1153889046a27
1222a54a24390
13100c768cbb4
1469d3bc84c4
15391715dadc
hex20480cb71c

138647746332 has 120 divisors (see below), whose sum is σ = 379785665952. Its totient is φ = 44022528000.

The previous prime is 138647746331. The next prime is 138647746403. The reversal of 138647746332 is 233647746831.

138647746332 is a `hidden beast` number, since 1 + 3 + 86 + 4 + 77 + 463 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138647746331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1757332 + ... + 1834532.

Almost surely, 2138647746332 is an apocalyptic number.

138647746332 is a gapful number since it is divisible by the number (12) 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 138647746332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189892832976).

138647746332 is an abundant number, since it is smaller than the sum of its proper divisors (241137919620).

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

138647746332 is a wasteful number, since it uses less digits than its factorization.

138647746332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77481 (or 77470 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

It can be divided in two parts, 1386477 and 46332, that added together give a square (1432809 = 11972).

The spelling of 138647746332 in words is "one hundred thirty-eight billion, six hundred forty-seven million, seven hundred forty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 241 276 324 414 482 621 723 828 964 1242 1446 1863 2169 2484 2892 3726 4338 5543 6507 7452 8676 11086 13014 16629 19521 22172 26028 33258 39042 49887 66516 77201 78084 99774 149661 154402 199548 231603 299322 308804 448983 463206 598644 694809 897966 926412 1389618 1775623 1795932 2084427 2779236 3551246 4168854 5326869 6253281 7102492 8337708 10653738 12506562 15980607 18605441 21307476 25013124 31961214 37210882 47941821 55816323 63922428 74421764 95883642 111632646 143825463 167448969 191767284 223265292 287650926 334897938 427925143 502346907 575301852 669795876 855850286 1004693814 1283775429 1507040721 1711700572 2009387628 2567550858 3014081442 3851326287 5135101716 6028162884 7702652574 11553978861 15405305148 23107957722 34661936583 46215915444 69323873166 138647746332