Search a number
-
+
106633150555512 = 23374994463285007
BaseRepresentation
bin11000001111101101110111…
…000011110110010101111000
3111222120000210121022211201110
4120033231313003312111320
5102434034143020234022
61014442332035320320
731313663606445360
oct3017556703662570
9458500717284643
10106633150555512
1130a81957628139
12bb622764500a0
134766603144559
141c491018c79a0
15c4db8dad200c
hex60fb770f6578

106633150555512 has 128 divisors (see below), whose sum is σ = 305346170880000. Its totient is φ = 30398639637888.

The previous prime is 106633150555433. The next prime is 106633150555513. The reversal of 106633150555512 is 215555051336601.

It is a super-2 number, since 2×1066331505555122 (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 (106633150555513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373999713 + ... + 374284719.

It is an arithmetic number, because the mean of its divisors is an integer number (2385516960000).

Almost surely, 2106633150555512 is an apocalyptic number.

106633150555512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106633150555512 is an abundant number, since it is smaller than the sum of its proper divisors (198713020324488).

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

106633150555512 is a wasteful number, since it uses less digits than its factorization.

106633150555512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289985 (or 289981 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 48.

The spelling of 106633150555512 in words is "one hundred six trillion, six hundred thirty-three billion, one hundred fifty million, five hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 499 998 1497 1996 2994 3493 3992 4463 5988 6986 8926 10479 11976 13389 13972 17852 20958 26778 27944 31241 35704 41916 53556 62482 83832 93723 107112 124964 187446 249928 285007 374892 570014 749784 855021 1140028 1710042 1995049 2227037 2280056 3420084 3990098 4454074 5985147 6681111 6840168 7980196 8908148 11970294 13362222 15589259 15960392 17816296 23940588 26724444 31178518 46767777 47881176 53448888 62357036 93535554 124714072 142218493 187071108 284436986 374142216 426655479 568873972 853310958 995529451 1137747944 1271986241 1706621916 1991058902 2543972482 2986588353 3413243832 3815958723 3982117804 5087944964 5973176706 7631917446 7964235608 8903903687 10175889928 11946353412 15263834892 17807807374 23892706824 26711711061 30527669784 35615614748 53423422122 71231229496 106846844244 213693688488 634721134259 1269442268518 1904163402777 2538884537036 3808326805554 4443047939813 5077769074072 7616653611108 8886095879626 13329143819439 15233307222216 17772191759252 26658287638878 35544383518504 53316575277756 106633150555512