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30648606930 = 23358911311287
BaseRepresentation
bin11100100010110011…
…001010000011010010
32221002221202112211000
4130202303022003102
51000232020410210
622025122002430
72133333601104
oct344263120322
987087675730
1030648606930
1111aa8381017
125b341a6416
132b7587bc96
1416aa645574
15be5a48ac0
hex722cca0d2

30648606930 has 128 divisors (see below), whose sum is σ = 83386713600. Its totient is φ = 8008906752.

The previous prime is 30648606917. The next prime is 30648606941. The reversal of 30648606930 is 3960684603.

30648606930 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 8 + 606 + 9 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2709747 + ... + 2721033.

It is an arithmetic number, because the mean of its divisors is an integer number (651458700).

Almost surely, 230648606930 is an apocalyptic number.

30648606930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30648606930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41693356800).

30648606930 is an abundant number, since it is smaller than the sum of its proper divisors (52738106670).

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

30648606930 is a wasteful number, since it uses less digits than its factorization.

30648606930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 30648606930 in words is "thirty billion, six hundred forty-eight million, six hundred six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 89 90 113 135 178 226 267 270 339 445 534 565 678 801 890 1017 1130 1335 1602 1695 2034 2403 2670 3051 3390 4005 4806 5085 6102 8010 10057 10170 11287 12015 15255 20114 22574 24030 30171 30510 33861 50285 56435 60342 67722 90513 100570 101583 112870 150855 169305 181026 203166 271539 301710 304749 338610 452565 507915 543078 609498 905130 1004543 1015830 1275431 1357695 1523745 2009086 2550862 2715390 3013629 3047490 3826293 5022715 6027258 6377155 7652586 9040887 10045430 11478879 12754310 15068145 18081774 19131465 22957758 27122661 30136290 34436637 38262930 45204435 54245322 57394395 68873274 90408870 113513359 114788790 135613305 172183185 227026718 271226610 340540077 344366370 567566795 681080154 1021620231 1135133590 1702700385 2043240462 3064860693 3405400770 5108101155 6129721386 10216202310 15324303465 30648606930