Search a number
-
+
42363550476 = 22341313817283
BaseRepresentation
bin100111011101000100…
…000111101100001100
311001100101111100020000
4213131010013230030
51143230032103401
631243405524300
73026544144342
oct473504075414
9131311440200
1042363550476
1116a6a135545
128263573690
133cc1948740
14209c45d992
15117e25d186
hex9dd107b0c

42363550476 has 120 divisors (see below), whose sum is σ = 119368414704. Its totient is φ = 13023711360.

The previous prime is 42363550423. The next prime is 42363550487. The reversal of 42363550476 is 67405536324.

42363550476 is a `hidden beast` number, since 4 + 2 + 3 + 635 + 5 + 0 + 4 + 7 + 6 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5813131 + ... + 5820413.

Almost surely, 242363550476 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 42363550476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59684207352).

42363550476 is an abundant number, since it is smaller than the sum of its proper divisors (77004864228).

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

42363550476 is a wasteful number, since it uses less digits than its factorization.

42363550476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 42363550476 in words is "forty-two billion, three hundred sixty-three million, five hundred fifty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1381 1404 2106 2762 4143 4212 5524 7283 8286 12429 14566 16572 17953 21849 24858 29132 35906 37287 43698 49716 53859 65547 71812 74574 87396 94679 107718 111861 131094 149148 161577 189358 196641 215436 223722 262188 284037 323154 378716 393282 447444 484731 568074 589923 646308 786564 852111 969462 1136148 1179846 1454193 1704222 1938924 2359692 2556333 2908386 3408444 5112666 5816772 7668999 10057823 10225332 15337998 20115646 30173469 30675996 40231292 60346938 90520407 120693876 130751699 181040814 261503398 271561221 362081628 392255097 523006796 543122442 784510194 814683663 1086244884 1176765291 1569020388 1629367326 2353530582 3258734652 3530295873 4707061164 7060591746 10590887619 14121183492 21181775238 42363550476