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106044562026 = 2321313711032999
BaseRepresentation
bin110001011000010111…
…1111001101001101010
3101010201102112220112100
41202300233321221222
53214134401441101
6120414410554230
710442611622214
oct1426057715152
9333642486470
10106044562026
1140a78433007
1218676138976
139cccbab670
1451bdb4d5b4
152b59c25e86
hex18b0bf9a6a

106044562026 has 96 divisors (see below), whose sum is σ = 249552576000. Its totient is φ = 32350770432.

The previous prime is 106044562007. The next prime is 106044562049. The reversal of 106044562026 is 620265440601.

106044562026 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 4 + 5 + 620 + 26 = 666.

It is a super-2 number, since 2×1060445620262 (a number of 23 digits) contains 22 as substring.

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, 35358475 + ... + 35361473.

It is an arithmetic number, because the mean of its divisors is an integer number (2599506000).

Almost surely, 2106044562026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106044562026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124776288000).

106044562026 is an abundant number, since it is smaller than the sum of its proper divisors (143508013974).

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

106044562026 is a wasteful number, since it uses less digits than its factorization.

106044562026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4257 counting only the distinct ones).

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

The spelling of 106044562026 in words is "one hundred six billion, forty-four million, five hundred sixty-two thousand, twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 137 234 274 411 822 1103 1233 1781 2206 2466 2999 3309 3562 5343 5998 6618 8997 9927 10686 14339 16029 17994 19854 26991 28678 32058 38987 43017 53982 77974 86034 116961 129051 151111 233922 258102 302222 350883 410863 453333 701766 821726 906666 1232589 1359999 1964443 2465178 2719998 3307897 3697767 3928886 5341219 5893329 6615794 7395534 9923691 10682438 11786658 16023657 17679987 19847382 29771073 32047314 35359974 43002661 48070971 59542146 86005322 96141942 129007983 258015966 387023949 453181889 774047898 906363778 1359545667 2719091334 4078637001 5891364557 8157274002 11782729114 17674093671 35348187342 53022281013 106044562026