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138666739952 = 241317535912541
BaseRepresentation
bin1000000100100100101…
…1101000100011110000
3111020220220221020210102
42001021023220203300
54232442141134302
6143411433251532
713006201561526
oct2011113504360
9436826836712
10138666739952
115389883a134
1222a5b263ba8
13100cb5b0220
1469d6530316
153918b61702
hex20492e88f0

138666739952 has 160 divisors (see below), whose sum is σ = 317449056960. Its totient is φ = 58092503040.

The previous prime is 138666739927. The next prime is 138666739961. The reversal of 138666739952 is 259937666831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11050802 + ... + 11063342.

It is an arithmetic number, because the mean of its divisors is an integer number (1984056606).

Almost surely, 2138666739952 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 138666739952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158724528480).

138666739952 is an abundant number, since it is smaller than the sum of its proper divisors (178782317008).

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

138666739952 is a wasteful number, since it uses less digits than its factorization.

138666739952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12685 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 65.

The spelling of 138666739952 in words is "one hundred thirty-eight billion, six hundred sixty-six million, seven hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 59 68 104 106 118 136 208 212 221 236 272 424 442 472 689 767 848 884 901 944 1003 1378 1534 1768 1802 2006 2756 3068 3127 3536 3604 4012 5512 6136 6254 7208 8024 11024 11713 12272 12508 12541 13039 14416 16048 23426 25016 25082 26078 40651 46852 50032 50164 52156 53159 81302 93704 100328 104312 106318 162604 163033 187408 200656 208624 212636 213197 325208 326066 425272 426394 650416 652132 664673 691067 739919 850544 852788 1304264 1329346 1382134 1479838 1705576 2608528 2658692 2764268 2771561 2959676 3411152 5317384 5528536 5543122 5919352 8640749 9618947 10634768 11057072 11086244 11299441 11838704 12578623 17281498 19237894 22172488 22598882 25157246 34562996 38475788 39215707 44344976 45197764 50314492 69125992 76951576 78431414 90395528 100628984 138251984 146892733 153903152 156862828 163522099 180791056 201257968 293785466 313725656 327044198 509804191 587570932 627451312 654088396 666667019 1019608382 1175141864 1308176792 1333334038 2039216764 2350283728 2616353584 2666668076 4078433528 5333336152 8156867056 8666671247 10666672304 17333342494 34666684988 69333369976 138666739952