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6042477630 = 235728095081
BaseRepresentation
bin1011010000010100…
…01110010000111110
3120121002222200000210
411220022032100332
544333333241010
62435331133250
7302511132600
oct55012162076
916532880023
106042477630
112620903972
121207744226
13753b1c267
14414709170
15255728b20
hex16828e43e

6042477630 has 96 divisors (see below), whose sum is σ = 16893787680. Its totient is φ = 1379159040.

The previous prime is 6042477629. The next prime is 6042477647. The reversal of 6042477630 is 367742406.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186690 + ... + 1191770.

It is an arithmetic number, because the mean of its divisors is an integer number (175976955).

Almost surely, 26042477630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042477630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446893840).

6042477630 is an abundant number, since it is smaller than the sum of its proper divisors (10851310050).

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

6042477630 is a wasteful number, since it uses less digits than its factorization.

6042477630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 6042477630 is about 77733.3752644255. The cubic root of 6042477630 is about 1821.3986782857.

The spelling of 6042477630 in words is "six billion, forty-two million, four hundred seventy-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 809 1470 1618 2427 4045 4854 5081 5663 8090 10162 11326 12135 15243 16989 24270 25405 28315 30486 33978 35567 39641 50810 56630 71134 76215 79282 84945 106701 118923 152430 169890 177835 198205 213402 237846 248969 355670 396410 497938 533505 594615 746907 1067010 1189230 1244845 1493814 2489690 3734535 4110529 7469070 8221058 12331587 20552645 24663174 28773703 41105290 57547406 61657935 86321109 123315870 143868515 172642218 201415921 287737030 402831842 431605545 604247763 863211090 1007079605 1208495526 2014159210 3021238815 6042477630