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106511462454404 = 22725993037298723
BaseRepresentation
bin11000001101111100100001…
…111000100101010010000100
3111222010101200221200210211202
4120031330201320211102010
5102430040433342020104
61014310405041122032
731302125221606400
oct3015744170452204
9458111627623752
10106511462454404
1130a35291897737
12bb42775329318
134757cac2b88b7
141c4327a2b6100
15c4a91a82851e
hex60df21e25484

106511462454404 has 72 divisors (see below), whose sum is σ = 217261128772800. Its totient is φ = 45556405038144.

The previous prime is 106511462454403. The next prime is 106511462454421. The reversal of 106511462454404 is 404454264115601.

It is a super-2 number, since 2×1065114624544042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106511462454403) 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, 356406587 + ... + 356705309.

It is an arithmetic number, because the mean of its divisors is an integer number (3017515677400).

Almost surely, 2106511462454404 is an apocalyptic number.

106511462454404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106511462454404 is an abundant number, since it is smaller than the sum of its proper divisors (110749666318396).

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

106511462454404 is a wasteful number, since it uses less digits than its factorization.

106511462454404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302377 (or 302368 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 47.

The spelling of 106511462454404 in words is "one hundred six trillion, five hundred eleven billion, four hundred sixty-two million, four hundred fifty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 599 1198 2396 3037 4193 6074 8386 12148 16772 21259 29351 42518 58702 85036 117404 148813 297626 298723 595252 597446 1194892 1819163 2091061 3638326 4182122 7276652 8364244 12734141 14637427 25468282 29274854 50936564 58549708 89138987 178277974 178935077 356555948 357870154 715740308 907221751 1252545539 1814443502 2505091078 3628887004 5010182156 6350552257 8767818773 12701104514 17535637546 25402209028 35071275092 44453865799 88907731598 177815463196 543425828849 1086851657698 2173703315396 3803980801943 7607961603886 15215923207772 26627865613601 53255731227202 106511462454404