Search a number
-
+
412333000038 = 23347223728537
BaseRepresentation
bin1100000000000001111…
…01100100010101100110
31110102022012021200112000
412000000331210111212
523223424222000123
6513231223110130
741534665446231
oct6000075442546
91412265250460
10412333000038
11149962257913
1267ab55a2346
132cb627862bb
1415d58104418
15aad44e5b43
hex6000f64566

412333000038 has 64 divisors (see below), whose sum is σ = 939988869120. Its totient is φ = 133916573376.

The previous prime is 412333000021. The next prime is 412333000039. The reversal of 412333000038 is 830000333214.

It is a super-3 number, since 3×4123330000383 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412332999975 and 412333000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412333000039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201706 + ... + 930242.

It is an arithmetic number, because the mean of its divisors is an integer number (14687326080).

Almost surely, 2412333000038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412333000038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469994434560).

412333000038 is an abundant number, since it is smaller than the sum of its proper divisors (527655869082).

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

412333000038 is a wasteful number, since it uses less digits than its factorization.

412333000038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728818 (or 728812 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 412333000038 in words is "four hundred twelve billion, three hundred thirty-three million, thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 47 54 94 141 223 282 423 446 669 846 1269 1338 2007 2538 4014 6021 10481 12042 20962 31443 62886 94329 188658 282987 565974 728537 1457074 2185611 4371222 6556833 13113666 19670499 34241239 39340998 68482478 102723717 162463751 205447434 308171151 324927502 487391253 616342302 924513453 974782506 1462173759 1849026906 2924347518 4386521277 7635796297 8773042554 15271592594 22907388891 45814777782 68722166673 137444333346 206166500019 412333000038