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106446070470 = 23547347217561
BaseRepresentation
bin110001100100010101…
…1100010001011000110
3101011202102001122120110
41203020223202023012
53221000143223340
6120522312413450
710455555445605
oct1431053421306
9334672048513
10106446070470
1141164039273
12187686a7286
13a06512a71c
14521b1c7a3c
152b800d6680
hex18c8ae22c6

106446070470 has 64 divisors (see below), whose sum is σ = 261659206656. Its totient is φ = 27701479680.

The previous prime is 106446070433. The next prime is 106446070513. The reversal of 106446070470 is 74070644601.

It is a happy number.

It is a super-2 number, since 2×1064460704702 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 380490 + ... + 598050.

It is an arithmetic number, because the mean of its divisors is an integer number (4088425104).

Almost surely, 2106446070470 is an apocalyptic number.

106446070470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106446070470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130829603328).

106446070470 is an abundant number, since it is smaller than the sum of its proper divisors (155213136186).

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

106446070470 is a wasteful number, since it uses less digits than its factorization.

106446070470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217965.

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 106446070470 in words is "one hundred six billion, four hundred forty-six million, seventy thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 347 470 694 705 1041 1410 1735 2082 3470 5205 10410 16309 32618 48927 81545 97854 163090 217561 244635 435122 489270 652683 1087805 1305366 2175610 3263415 6526830 10225367 20450734 30676101 51126835 61352202 75493667 102253670 150987334 153380505 226481001 306761010 377468335 452962002 754936670 1132405005 2264810010 3548202349 7096404698 10644607047 17741011745 21289214094 35482023490 53223035235 106446070470