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106361746368 = 2631314228759
BaseRepresentation
bin110001100001110100…
…1110111001111000000
3101011112112101112122120
41203003221313033000
53220312101340433
6120510101204240
710453512633003
oct1430351671700
9334475345576
10106361746368
1141120484329
1218744400680
13a0508150c7
14520dd1753a
152b779cb7b3
hex18c3a773c0

106361746368 has 56 divisors (see below), whose sum is σ = 283563730560. Its totient is φ = 35183266560.

The previous prime is 106361746367. The next prime is 106361746453. The reversal of 106361746368 is 863647163601.

It is a happy number.

It is a super-2 number, since 2×1063617463682 (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 106361746368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106361746367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089228 + ... + 2139531.

Almost surely, 2106361746368 is an apocalyptic number.

It is an amenable number.

106361746368 is an abundant number, since it is smaller than the sum of its proper divisors (177201984192).

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

106361746368 is a wasteful number, since it uses less digits than its factorization.

106361746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228905 (or 4228895 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 106361746368 in words is "one hundred six billion, three hundred sixty-one million, seven hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 25152 4228759 8457518 12686277 16915036 25372554 33830072 50745108 67660144 101490216 135320288 202980432 270640576 405960864 553967429 811921728 1107934858 1661902287 2215869716 3323804574 4431739432 6647609148 8863478864 13295218296 17726957728 26590436592 35453915456 53180873184 106361746368