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138266302284 = 223211977357377
BaseRepresentation
bin1000000011000101010…
…0000101011101001100
3111012220000102220120200
42000301110011131030
54231132133133114
6143304010413500
712663240115005
oct2006124053514
9435800386520
10138266302284
11537027a5410
1222969131290
1310066647666
1469992941ac
1538e3913409
hex203150574c

138266302284 has 72 divisors (see below), whose sum is σ = 381671126928. Its totient is φ = 41855877120.

The previous prime is 138266302271. The next prime is 138266302289. The reversal of 138266302284 is 482203662831.

138266302284 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 6 + 630 + 2 + 2 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (138266302289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208204 + ... + 565580.

It is an arithmetic number, because the mean of its divisors is an integer number (5300987874).

Almost surely, 2138266302284 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 138266302284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190835563464).

138266302284 is an abundant number, since it is smaller than the sum of its proper divisors (243404824644).

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

138266302284 is a wasteful number, since it uses less digits than its factorization.

138266302284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358375 (or 358370 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 138266302284 in words is "one hundred thirty-eight billion, two hundred sixty-six million, three hundred two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 977 1954 2931 3908 5862 8793 10747 11724 17586 21494 32241 35172 42988 64482 96723 128964 193446 357377 386892 714754 1072131 1429508 2144262 3216393 3931147 4288524 6432786 7862294 11793441 12865572 15724588 23586882 35380323 47173764 70760646 141521292 349157329 698314658 1047471987 1396629316 2094943974 3142415961 3840730619 4189887948 6284831922 7681461238 11522191857 12569663844 15362922476 23044383714 34566575571 46088767428 69133151142 138266302284