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7827828012 = 223519423859
BaseRepresentation
bin1110100101001001…
…10010110100101100
3202012112102212100000
413102210302310230
5112012410444022
63332425304300
7364660304004
oct72244626454
922175385300
107827828012
113357672054
121625635090
139799802c4
1454388b004
1530c33b6ac
hex1d2932d2c

7827828012 has 72 divisors (see below), whose sum is σ = 21599905600. Its totient is φ = 2471939856.

The previous prime is 7827827999. The next prime is 7827828017. The reversal of 7827828012 is 2108287287.

It is a super-2 number, since 2×78278280122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7827828017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193462 + ... + 230397.

Almost surely, 27827828012 is an apocalyptic number.

It is an amenable number.

7827828012 is an abundant number, since it is smaller than the sum of its proper divisors (13772077588).

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

7827828012 is a wasteful number, since it uses less digits than its factorization.

7827828012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423897 (or 423883 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 7827828012 is about 88475.0134896853. The cubic root of 7827828012 is about 1985.5481579938.

The spelling of 7827828012 in words is "seven billion, eight hundred twenty-seven million, eight hundred twenty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468 423859 847718 1271577 1695436 2543154 3814731 5086308 7629462 8053321 11444193 15258924 16106642 22888386 24159963 32213284 34332579 45776772 48319926 68665158 72479889 96639852 102997737 137330316 144959778 205995474 217439667 289919556 411990948 434879334 652319001 869758668 1304638002 1956957003 2609276004 3913914006 7827828012