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7006000068 = 223554713177
BaseRepresentation
bin1101000011001011…
…10001001111000100
3200002021000200100000
412201211301033010
5103322014000233
63115110521300
7335421006114
oct64145611704
920067020300
107006000068
112a75782601
121436366230
13878626c92
144a667d044
152b0101d13
hex1a19713c4

7006000068 has 72 divisors (see below), whose sum is σ = 18400494112. Its totient is φ = 2330887104.

The previous prime is 7006000049. The next prime is 7006000069. The reversal of 7006000068 is 8600006007.

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

It is not an unprimeable number, because it can be changed into a prime (7006000069) 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, 525096 + ... + 538272.

Almost surely, 27006000068 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 7006000068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200247056).

7006000068 is an abundant number, since it is smaller than the sum of its proper divisors (11394494044).

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

7006000068 is a wasteful number, since it uses less digits than its factorization.

7006000068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7006000068 is about 83701.8522375700. The cubic root of 7006000068 is about 1913.4775846463.

The spelling of 7006000068 in words is "seven billion, six million, sixty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 547 972 1094 1641 2188 3282 4923 6564 9846 13177 14769 19692 26354 29538 39531 44307 52708 59076 79062 88614 118593 132921 158124 177228 237186 265842 355779 474372 531684 711558 1067337 1423116 2134674 3202011 4269348 6404022 7207819 12808044 14415638 21623457 28831276 43246914 64870371 86493828 129740742 194611113 259481484 389222226 583833339 778444452 1167666678 1751500017 2335333356 3503000034 7006000068