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106838168747508 = 2232111063253803721
BaseRepresentation
bin11000010010101100110011…
…000110001011110111110100
3112000021121222200020002111200
4120102230303012023313310
5103000414032144410013
61015120435510532500
731334542263355632
oct3022546306136764
9460247880202450
10106838168747508
11310508a3aa1250
12bb95b52667130
13477ca46cc17b3
141c54dd0244352
15c5418c8a2e73
hex612b3318bdf4

106838168747508 has 72 divisors (see below), whose sum is σ = 294891498947136. Its totient is φ = 32344746076800.

The previous prime is 106838168747507. The next prime is 106838168747549. The reversal of 106838168747508 is 805747861838601.

It is a happy number.

106838168747508 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 38 + 1 + 6 + 87 + 4 + 7 + 508 = 666.

It is a super-2 number, since 2×1068381687475082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106838168747507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126480913 + ... + 127322808.

Almost surely, 2106838168747508 is an apocalyptic number.

106838168747508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106838168747508 is an abundant number, since it is smaller than the sum of its proper divisors (188053330199628).

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

106838168747508 is a wasteful number, since it uses less digits than its factorization.

106838168747508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253804805 (or 253804800 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 106838168747508 in words is "one hundred six trillion, eight hundred thirty-eight billion, one hundred sixty-eight million, seven hundred forty-seven thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1063 2126 3189 4252 6378 9567 11693 12756 19134 23386 35079 38268 46772 70158 105237 140316 210474 420948 253803721 507607442 761411163 1015214884 1522822326 2284233489 2791840931 3045644652 4568466978 5583681862 8375522793 9136933956 11167363724 16751045586 25126568379 33502091172 50253136758 100506273516 269793355423 539586710846 809380066269 1079173421692 1618760132538 2428140198807 2967726909653 3237520265076 4856280397614 5935453819306 8903180728959 9712560795228 11870907638612 17806361457918 26709542186877 35612722915836 53419084373754 106838168747508