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100673671068 = 2234836016229
BaseRepresentation
bin101110111000010011…
…1100100111110011100
3100121212010021101020000
41131300213210332130
53122134424433233
6114125430054300
710162534041045
oct1356047447634
9317763241200
10100673671068
1139771732153
12176174aa390
139655260a89
144c307038cc
15294345ad13
hex17709e4f9c

100673671068 has 120 divisors (see below), whose sum is σ = 266837728080. Its totient is φ = 33093100800.

The previous prime is 100673671051. The next prime is 100673671069. The reversal of 100673671068 is 860176376001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100673671069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16158978 + ... + 16165206.

It is an arithmetic number, because the mean of its divisors is an integer number (2223647734).

Almost surely, 2100673671068 is an apocalyptic number.

100673671068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100673671068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133418864040).

100673671068 is an abundant number, since it is smaller than the sum of its proper divisors (166164057012).

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

100673671068 is a wasteful number, since it uses less digits than its factorization.

100673671068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 100673671068 in words is "one hundred billion, six hundred seventy-three million, six hundred seventy-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 601 747 996 1202 1494 1803 2241 2404 2988 3606 4482 5409 6229 6723 7212 8964 10818 12458 13446 16227 18687 21636 24916 26892 32454 37374 48681 49883 56061 64908 74748 97362 99766 112122 149649 168183 194724 199532 224244 299298 336366 448947 504549 517007 598596 672732 897894 1009098 1034014 1346841 1551021 1795788 2018196 2068028 2693682 3102042 3743629 4040523 4653063 5387364 6204084 7487258 8081046 9306126 11230887 13959189 14974516 16162092 18612252 22461774 27918378 33692661 41877567 44923548 55836756 67385322 83755134 101077983 134770644 167510268 202155966 303233949 310721207 404311932 606467898 621442414 932163621 1212935796 1242884828 1864327242 2796490863 3728654484 5592981726 8389472589 11185963452 16778945178 25168417767 33557890356 50336835534 100673671068