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6106666506606 = 23667110956369
BaseRepresentation
bin101100011011101000110…
…1100000001100101101110
3210121210101002101112000000
41120313101230001211232
51300022423111202411
620553210332245130
71200122613601041
oct130672154014556
923553332345000
106106666506606
111a44906051646
1282761a3107a6
13353b1904b5b3
141717c8398c58
15a8cad5b3956
hex58dd1b0196e

6106666506606 has 112 divisors (see below), whose sum is σ = 13951514120400. Its totient is φ = 2003330444544.

The previous prime is 6106666506599. The next prime is 6106666506613. The reversal of 6106666506606 is 6066056666016.

It is an interprime number because it is at equal distance from previous prime (6106666506599) and next prime (6106666506613).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 108305590 + ... + 108361958.

Almost surely, 26106666506606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106666506606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975757060200).

6106666506606 is an abundant number, since it is smaller than the sum of its proper divisors (7844847613794).

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

6106666506606 is a wasteful number, since it uses less digits than its factorization.

6106666506606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57565 (or 57550 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6106666506606 in words is "six trillion, one hundred six billion, six hundred sixty-six million, five hundred six thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 243 402 486 603 729 1109 1206 1458 1809 2218 3327 3618 5427 6654 9981 10854 16281 19962 29943 32562 48843 56369 59886 74303 89829 97686 112738 148606 169107 179658 222909 269487 338214 445818 507321 538974 668727 808461 1014642 1337454 1521963 1616922 2006181 3043926 3776723 4012362 4565889 6018543 7553446 9131778 11330169 12037086 13697667 18055629 22660338 27395334 33990507 36111258 41093001 54166887 62513221 67981014 82186002 101971521 108333774 125026442 187539663 203943042 305914563 375079326 562618989 611829126 917743689 1125237978 1687856967 1835487378 2753231067 3375713934 4188385807 5063570901 5506462134 8376771614 10127141802 12565157421 15190712703 25130314842 30381425406 37695472263 45572138109 75390944526 91144276218 113086416789 226172833578 339259250367 678518500734 1017777751101 2035555502202 3053333253303 6106666506606