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104951538666 = 232134115769677
BaseRepresentation
bin110000110111110011…
…0010110001111101010
3101000220020211120100200
41201233212112033222
53204420043214131
6120114123413030
710403540234202
oct1415746261752
9330806746320
10104951538666
1140567453417
1218410084176
139b87601390
145118909402
152ae3cbc2e6
hex186f9963ea

104951538666 has 96 divisors (see below), whose sum is σ = 252461231568. Its totient is φ = 31304033280.

The previous prime is 104951538649. The next prime is 104951538673. The reversal of 104951538666 is 666835159401.

It can be written as a sum of positive squares in 8 ways, for example, as 2378025225 + 102573513441 = 48765^2 + 320271^2 .

It is a super-2 number, since 2×1049515386662 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471420 + ... + 1541096.

Almost surely, 2104951538666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104951538666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126230615784).

104951538666 is an abundant number, since it is smaller than the sum of its proper divisors (147509692902).

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

104951538666 is a wasteful number, since it uses less digits than its factorization.

104951538666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69896 (or 69893 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 104951538666 in words is "one hundred four billion, nine hundred fifty-one million, five hundred thirty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 157 234 246 314 369 471 533 738 942 1066 1413 1599 2041 2826 3198 4082 4797 6123 6437 9594 12246 12874 18369 19311 36738 38622 57933 69677 83681 115866 139354 167362 209031 251043 418062 502086 627093 753129 905801 1254186 1506258 1811602 2717403 2856757 5434806 5713514 8152209 8570271 10939289 16304418 17140542 21878578 25710813 32817867 37137841 51421626 65635734 74275682 98453601 111413523 142210757 196907202 222827046 284421514 334240569 426632271 448510849 668481138 853264542 897021698 1279896813 1345532547 2559793626 2691065094 4036597641 5830641037 8073195282 11661282074 17491923111 34983846222 52475769333 104951538666