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1005055055064 = 2332172620331337
BaseRepresentation
bin11101010000000011111…
…00110001010011011000
310120002020000101211101200
432220001330301103120
5112431323043230224
62045414345514200
7132420126003624
oct16500174612330
93502200354350
101005055055064
11358272416655
12142952aa2960
1373a12662698
143690595a184
151b2254455c9
hexea01f314d8

1005055055064 has 96 divisors (see below), whose sum is σ = 2882345141520. Its totient is φ = 315289294848.

The previous prime is 1005055055051. The next prime is 1005055055077. The reversal of 1005055055064 is 4605505505001.

1005055055064 is a `hidden beast` number, since 1 + 0 + 0 + 50 + 5 + 50 + 550 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1005055055051) and next prime (1005055055077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32056804 + ... + 32088140.

Almost surely, 21005055055064 is an apocalyptic number.

It is an amenable number.

1005055055064 is an abundant number, since it is smaller than the sum of its proper divisors (1877290086456).

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

1005055055064 is a wasteful number, since it uses less digits than its factorization.

1005055055064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57569 (or 57562 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 1005055055064 in words is "one trillion, five billion, fifty-five million, fifty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 26203 31337 52406 62674 78609 94011 104812 125348 157218 188022 209624 235827 250696 282033 314436 376044 445451 471654 532729 564066 628872 752088 890902 943308 1065458 1128132 1336353 1598187 1781804 1886616 2130916 2256264 2672706 3196374 3563608 4009059 4261832 4794561 5345412 6392748 8018118 9589122 10690824 12785496 16036236 19178244 32072472 38356488 821123411 1642246822 2463370233 3284493644 4926740466 6568987288 7390110699 9853480932 13959097987 14780221398 19706961864 27918195974 29560442796 41877293961 55836391948 59120885592 83754587922 111672783896 125631881883 167509175844 251263763766 335018351688 502527527532 1005055055064