Search a number
-
+
30773054004 = 223711201116561
BaseRepresentation
bin11100101010001101…
…111000101000110100
32221102121221010002220
4130222031320220310
51001010400212004
622045325202340
72136404433420
oct345215705064
987377833086
1030773054004
111206164aa40
125b69a003b0
132b955a20c4
1416bcd9bb80
15c0192bdd9
hex72a378a34

30773054004 has 96 divisors (see below), whose sum is σ = 89571535872. Its totient is φ = 7988544000.

The previous prime is 30773053973. The next prime is 30773054009. The reversal of 30773054004 is 40045037703.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30773054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849884 + ... + 1866444.

It is an arithmetic number, because the mean of its divisors is an integer number (933036832).

Almost surely, 230773054004 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 30773054004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44785767936).

30773054004 is an abundant number, since it is smaller than the sum of its proper divisors (58798481868).

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

30773054004 is a wasteful number, since it uses less digits than its factorization.

30773054004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18597 (or 18595 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The spelling of 30773054004 in words is "thirty billion, seven hundred seventy-three million, fifty-four thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2011 4022 6033 8044 12066 14077 16561 22121 24132 28154 33122 42231 44242 49683 56308 66244 66363 84462 88484 99366 115927 132726 154847 168924 182171 198732 231854 265452 309694 347781 364342 463708 464541 546513 619388 695562 728684 929082 1093026 1275197 1391124 1858164 2186052 2550394 3825591 5100788 7651182 15302364 33304171 66608342 99912513 133216684 199825026 233129197 366345881 399650052 466258394 699387591 732691762 932516788 1099037643 1398775182 1465383524 2198075286 2564421167 2797550364 4396150572 5128842334 7693263501 10257684668 15386527002 30773054004