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1006466111704 = 23194125966763
BaseRepresentation
bin11101010010101100000…
…11100001100011011000
310120012212100112221012201
432221112003201203120
5112442220311033304
62050210353415544
7132500111536444
oct16512603414330
93505770487181
101006466111704
11358926977369
1214308756a5b4
1373ba8ab2941
14369db109824
151b2a92713a4
hexea560e18d8

1006466111704 has 96 divisors (see below), whose sum is σ = 2070618696000. Its totient is φ = 457228903680.

The previous prime is 1006466111699. The next prime is 1006466111713. The reversal of 1006466111704 is 4071116646001.

It is a happy number.

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, 15041827 + ... + 15108589.

It is an arithmetic number, because the mean of its divisors is an integer number (21568944750).

Almost surely, 21006466111704 is an apocalyptic number.

It is an amenable number.

1006466111704 is an abundant number, since it is smaller than the sum of its proper divisors (1064152584296).

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

1006466111704 is a wasteful number, since it uses less digits than its factorization.

1006466111704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66929 (or 66884 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 1006466111704 in words is "one trillion, six billion, four hundred sixty-six million, one hundred eleven thousand, seven hundred four".

Divisors: 1 2 4 8 19 38 41 59 76 82 118 152 164 236 328 472 779 1121 1558 1681 2242 2419 3116 3362 4484 4838 6232 6724 8968 9676 13448 19352 31939 45961 63878 66763 91922 99179 127756 133526 183844 198358 255512 267052 367688 396716 534104 793432 1268497 1884401 2536994 2737283 3768802 3939017 5073988 5474566 7537604 7878034 10147976 10949132 15075208 15756068 21898264 31512136 52008377 74841323 104016754 112228603 149682646 161499697 208033508 224457206 299365292 322999394 416067016 448914412 598730584 645998788 897828824 1291997576 2132343457 3068494243 4264686914 6136988486 6621487577 8529373828 12273976972 13242975154 17058747656 24547953944 26485950308 52971900616 125808263963 251616527926 503233055852 1006466111704