Search a number
-
+
30590544393992 = 23112359354772221
BaseRepresentation
bin1101111010010011010101…
…00010000011011100001000
311000022102112122011021000102
412331021222202003130020
513002143413331101432
6145021034015024532
76305044131044612
oct675115242033410
9130272478137012
1030590544393992
1198244168a8930
12352079b50b148
13140b8a3108bcb
1477a8398dbdb2
15380ae4970962
hex1bd26a883708

30590544393992 has 128 divisors (see below), whose sum is σ = 66418355635200. Its totient is φ = 13070941804800.

The previous prime is 30590544393971. The next prime is 30590544394027. The reversal of 30590544393992 is 29939344509503.

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, 423532442 + ... + 423604662.

It is an arithmetic number, because the mean of its divisors is an integer number (518893403400).

Almost surely, 230590544393992 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 30590544393992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33209177817600).

30590544393992 is an abundant number, since it is smaller than the sum of its proper divisors (35827811241208).

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

30590544393992 is a wasteful number, since it uses less digits than its factorization.

30590544393992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75867 (or 75863 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 65.

The spelling of 30590544393992 in words is "thirty trillion, five hundred ninety billion, five hundred forty-four million, three hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 23 44 46 59 88 92 118 184 236 253 472 506 649 1012 1298 1357 2024 2596 2714 3547 5192 5428 7094 10856 14188 14927 28376 29854 39017 59708 72221 78034 81581 119416 144442 156068 163162 209273 288884 312136 326324 418546 577768 652648 794431 837092 897391 1588862 1661083 1674184 1794782 2302003 3177724 3322166 3589564 4261039 4604006 4813279 6355448 6644332 7179128 8522078 9208012 9626558 13288664 17044156 18271913 18416024 19253116 34088312 36543826 38506232 46871429 52946069 73087652 93742858 98003897 105892138 146175304 187485716 196007794 211784276 256167887 374971432 392015588 423568552 512335774 784031176 1024671548 1078042867 2049343096 2156085734 2817846757 4312171468 5635693514 5891861401 8624342936 11271387028 11783722802 15113905333 22542774056 23567445604 30227810666 47134891208 60455621332 64810475411 120911242664 129620950822 166252958663 259241901644 332505917326 347619822659 518483803288 665011834652 695239645318 1330023669304 1390479290636 2780958581272 3823818049249 7647636098498 15295272196996 30590544393992