Search a number
-
+
30632084339778 = 236107431455573
BaseRepresentation
bin1101111011100000101101…
…00000010111110001000010
311000110101202121220011000000
412331300112200113301002
513003334002042333103
6145052104004140430
76311044414544355
oct675602640276102
9130411677804000
1030632084339778
11983aaa303aa39
123528853097716
13141279322869c
1477c85a80a29c
15381c26742aa3
hex1bdc16817c42

30632084339778 has 112 divisors (see below), whose sum is σ = 69695999323776. Its totient is φ = 10091776275360.

The previous prime is 30632084339777. The next prime is 30632084339803. The reversal of 30632084339778 is 87793348023603.

30632084339778 is a `hidden beast` number, since 30 + 6 + 3 + 208 + 4 + 3 + 397 + 7 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (30632084339777) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67010800 + ... + 67466372.

It is an arithmetic number, because the mean of its divisors is an integer number (622285708248).

Almost surely, 230632084339778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30632084339778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34847999661888).

30632084339778 is an abundant number, since it is smaller than the sum of its proper divisors (39063914983998).

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

30632084339778 is a wasteful number, since it uses less digits than its factorization.

30632084339778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456131 (or 456116 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 30632084339778 in words is "thirty trillion, six hundred thirty-two billion, eighty-four million, three hundred thirty-nine thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 431 486 642 729 862 963 1293 1458 1926 2586 2889 3879 5778 7758 8667 11637 17334 23274 26001 34911 46117 52002 69822 78003 92234 104733 138351 156006 209466 276702 314199 415053 455573 628398 830106 911146 1245159 1366719 2490318 2733438 3735477 4100157 7470954 8200314 11206431 12300471 22412862 24600942 33619293 36901413 48746311 67238586 73802826 97492622 110704239 146238933 196351963 221408478 292477866 332112717 392703926 438716799 589055889 664225434 877433598 1178111778 1316150397 1767167667 2632300794 3534335334 3948451191 5301503001 7896902382 10603006002 11845353573 15904509003 21009660041 23690707146 31809018006 35536060719 42019320082 47713527009 63028980123 71072121438 95427054018 126057960246 143140581027 189086940369 286281162054 378173880738 567260821107 1134521642214 1701782463321 3403564926642 5105347389963 10210694779926 15316042169889 30632084339778