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106006524246 = 2327326096581
BaseRepresentation
bin110001010111001111…
…0110011000101010110
3101010121202222101111200
41202232132303011112
53214100132233441
6120410531413330
710441640406000
oct1425636630526
9333552871450
10106006524246
1140a58a12727
1218665454246
139cc5050cbc
1451b8a8b370
152b567107b6
hex18ae7b3156

106006524246 has 96 divisors (see below), whose sum is σ = 267992712000. Its totient is φ = 30271368960.

The previous prime is 106006524157. The next prime is 106006524263. The reversal of 106006524246 is 642425600601.

106006524246 is a `hidden beast` number, since 1 + 0 + 600 + 6 + 5 + 2 + 4 + 2 + 46 = 666.

It is a super-2 number, since 2×1060065242462 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106006524246.

It is a congruent number.

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, 16104676 + ... + 16111256.

It is an arithmetic number, because the mean of its divisors is an integer number (2791590750).

Almost surely, 2106006524246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106006524246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133996356000).

106006524246 is an abundant number, since it is smaller than the sum of its proper divisors (161986187754).

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

106006524246 is a wasteful number, since it uses less digits than its factorization.

106006524246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106006524246 in words is "one hundred six billion, six million, five hundred twenty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2609 3087 5218 6174 6581 7827 13162 15654 18263 19743 23481 36526 39486 46067 46962 54789 59229 92134 109578 118458 127841 138201 164367 255682 276402 322469 328734 383523 414603 644938 767046 829206 894887 967407 1150569 1789774 1934814 2257283 2301138 2684661 2902221 4514566 5369322 5804442 6771849 8053983 13543698 16107966 17169829 20315547 34339658 40631094 51509487 103018974 120188803 154528461 240377606 309056922 360566409 721132818 841321621 1081699227 1682643242 2163398454 2523964863 5047929726 5889251347 7571894589 11778502694 15143789178 17667754041 35335508082 53003262123 106006524246