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46006454109606 = 23312371621133033
BaseRepresentation
bin10100111010111101101100…
…10110101100010110100110
320000220011200220000022011020
422131132312112230112212
522012232204223001411
6241503023453152010
712455566551430044
oct1235366626542646
9200804626008136
1046006454109606
1113728255a60601
1251b043848b606
131c8950bacb713
14b50a1d525394
1554bb005dd606
hex29d7b65ac5a6

46006454109606 has 96 divisors (see below), whose sum is σ = 97707430063584. Its totient is φ = 14430672806400.

The previous prime is 46006454109571. The next prime is 46006454109607. The reversal of 46006454109606 is 60690145460064.

It is a super-2 number, since 2×460064541096062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46006454109607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345760866 + ... + 345893898.

It is an arithmetic number, because the mean of its divisors is an integer number (1017785729829).

Almost surely, 246006454109606 is an apocalyptic number.

46006454109606 is an abundant number, since it is smaller than the sum of its proper divisors (51700975953978).

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

46006454109606 is a wasteful number, since it uses less digits than its factorization.

46006454109606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134758 (or 134727 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 46006454109606 in words is "forty-six trillion, six billion, four hundred fifty-four million, one hundred nine thousand, six hundred six".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 222 961 1147 1621 1922 2294 2883 3242 3441 4863 5766 6882 9726 35557 50251 59977 71114 100502 106671 119954 133033 150753 179931 213342 266066 301506 359862 399099 798198 1557781 1859287 3115562 3718574 4124023 4673343 4922221 5577861 8248046 9346686 9844442 11155722 12372069 14766663 24744138 29533326 57637897 115275794 127844713 152588851 172913691 215646493 255689426 305177702 345827382 383534139 431292986 457766553 646939479 767068278 915533106 1293878958 4730254381 6685041283 7978920241 9460508762 13370082566 14190763143 15957840482 20055123849 23936760723 28381526286 40110247698 47873521446 207236279773 247346527471 414472559546 494693054942 621708839319 742039582413 1243417678638 1484079164826 7667742351601 15335484703202 23003227054803 46006454109606