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138721999284 = 2232112166919081
BaseRepresentation
bin1000000100110001111…
…0011011100110110100
3111021001202220201100100
42001030132123212310
54233100312434114
6143421125514100
713010442352461
oct2011436334664
9437052821310
10138721999284
1153916a52300
1222a75872930
1310109b8a45b
1469dd9d6668
15391d929909
hex204c79b9b4

138721999284 has 108 divisors (see below), whose sum is σ = 385685574820. Its totient is φ = 42009580800.

The previous prime is 138721999271. The next prime is 138721999291. The reversal of 138721999284 is 482999127831.

138721999284 is a `hidden beast` number, since 1 + 387 + 2 + 1 + 99 + 92 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46949355684 + 91772643600 = 216678^2 + 302940^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7260624 + ... + 7279704.

Almost surely, 2138721999284 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 138721999284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192842787410).

138721999284 is an abundant number, since it is smaller than the sum of its proper divisors (246963575536).

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

138721999284 is a wasteful number, since it uses less digits than its factorization.

138721999284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20782 (or 20766 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 138721999284 in words is "one hundred thirty-eight billion, seven hundred twenty-one million, nine hundred ninety-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1669 2178 3338 4356 5007 6676 10014 15021 18359 19081 20028 30042 36718 38162 55077 57243 60084 73436 76324 110154 114486 165231 171729 201949 209891 220308 228972 330462 343458 403898 419782 605847 629673 660924 686916 807796 839564 1211694 1259346 1817541 1889019 2308801 2423388 2518692 3635082 3778038 4617602 6926403 7270164 7556076 9235204 13852806 20779209 27705612 31846189 41558418 63692378 83116836 95538567 127384756 191077134 286615701 350308079 382154268 573231402 700616158 1050924237 1146462804 1401232316 2101848474 3152772711 3853388869 4203696948 6305545422 7706777738 11560166607 12611090844 15413555476 23120333214 34680499821 46240666428 69360999642 138721999284