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138556591296 = 26341173101741
BaseRepresentation
bin1000000100001010011…
…1011100110011000000
3111020122020200010020120
42001002213130303000
54232230441410141
6143352500340240
713003363410444
oct2010247346300
9436566603216
10138556591296
1153841646892
1222a2a3a4680
13100b18252c6
1469c5a5a824
15390e154c66
hex20429dccc0

138556591296 has 112 divisors (see below), whose sum is σ = 377713512288. Its totient is φ = 44798156800.

The previous prime is 138556591273. The next prime is 138556591309. The reversal of 138556591296 is 692195655831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1310986 + ... + 1412726.

It is an arithmetic number, because the mean of its divisors is an integer number (3372442074).

Almost surely, 2138556591296 is an apocalyptic number.

138556591296 is a gapful number since it is divisible by the number (16) 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 138556591296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188856756144).

138556591296 is an abundant number, since it is smaller than the sum of its proper divisors (239156920992).

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

138556591296 is a wasteful number, since it uses less digits than its factorization.

138556591296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101970 (or 101960 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 60.

The spelling of 138556591296 in words is "one hundred thirty-eight billion, five hundred fifty-six million, five hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 173 192 246 328 346 492 519 656 692 984 1038 1312 1384 1968 2076 2624 2768 3936 4152 5536 7093 7872 8304 11072 14186 16608 21279 28372 33216 42558 56744 85116 101741 113488 170232 203482 226976 305223 340464 406964 453952 610446 680928 813928 1220892 1361856 1627856 2441784 3255712 4171381 4883568 6511424 8342762 9767136 12514143 16685524 17601193 19534272 25028286 33371048 35202386 50056572 52803579 66742096 70404772 100113144 105607158 133484192 140809544 200226288 211214316 266968384 281619088 400452576 422428632 563238176 721648913 800905152 844857264 1126476352 1443297826 1689714528 2164946739 2886595652 3379429056 4329893478 5773191304 8659786956 11546382608 17319573912 23092765216 34639147824 46185530432 69278295648 138556591296