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412612382292 = 2231179127311557
BaseRepresentation
bin1100000000100011001…
…11010100111001010100
31110110000122222202220220
412000101213110321110
523230012232213132
6513315043154340
741544630244605
oct6002147247124
91413018882826
10412612382292
11149a95a29940
1267b730759b0
132cba8615746
1415d8326bdac
15aaedcd0a2c
hex60119d4e54

412612382292 has 96 divisors (see below), whose sum is σ = 1071958917120. Its totient is φ = 122478894720.

The previous prime is 412612382269. The next prime is 412612382293. The reversal of 412612382292 is 292283216214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412612382293) 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, 1168578 + ... + 1480134.

It is an arithmetic number, because the mean of its divisors is an integer number (11166238720).

Almost surely, 2412612382292 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 412612382292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535979458560).

412612382292 is an abundant number, since it is smaller than the sum of its proper divisors (659346534828).

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

412612382292 is a wasteful number, since it uses less digits than its factorization.

412612382292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311781 (or 311779 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 412612382292 in words is "four hundred twelve billion, six hundred twelve million, three hundred eighty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 127 132 158 237 254 316 381 474 508 762 869 948 1397 1524 1738 2607 2794 3476 4191 5214 5588 8382 10033 10428 16764 20066 30099 40132 60198 110363 120396 220726 311557 331089 441452 623114 662178 934671 1246228 1324356 1869342 3427127 3738684 6854254 10281381 13708508 20562762 24613003 39567739 41125524 49226006 73839009 79135478 98452012 118703217 147678018 158270956 237406434 270743033 295356036 435245129 474812868 541486066 812229099 870490258 1082972132 1305735387 1624458198 1740980516 2611470774 3125851381 3248916396 5222941548 6251702762 9377554143 12503405524 18755108286 34384365191 37510216572 68768730382 103153095573 137537460764 206306191146 412612382292