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3411629552394 = 23272191271603009
BaseRepresentation
bin110001101001010100111…
…101111011001100001010
3110002011000022220010012200
4301221110331323030022
5421344004131134034
611131140405221030
7501324234502500
oct61512475731412
913064008803180
103411629552394
1110a5955a399a8
12471243a01776
131b993b63a79b
14bb1a3806670
155db270d5a99
hex31a54f7b30a

3411629552394 has 144 divisors (see below), whose sum is σ = 9122537548800. Its totient is φ = 916176780288.

The previous prime is 3411629552393. The next prime is 3411629552533. The reversal of 3411629552394 is 4932559261143.

3411629552394 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 6 + 29 + 5 + 523 + 94 = 666.

It is a super-2 number, since 2×34116295523942 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3411629552394.

It is not an unprimeable number, because it can be changed into a prime (3411629552393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1326762 + ... + 2929770.

It is an arithmetic number, because the mean of its divisors is an integer number (63350955200).

Almost surely, 23411629552394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411629552394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561268774400).

3411629552394 is an abundant number, since it is smaller than the sum of its proper divisors (5710907996406).

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

3411629552394 is a wasteful number, since it uses less digits than its factorization.

3411629552394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603177 (or 1603167 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 3411629552394 in words is "three trillion, four hundred eleven billion, six hundred twenty-nine million, five hundred fifty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 127 133 147 171 254 266 294 342 381 399 441 762 798 882 889 931 1143 1197 1778 1862 2286 2394 2413 2667 2793 4826 5334 5586 6223 7239 8001 8379 12446 14478 16002 16758 16891 18669 21717 33782 37338 43434 50673 56007 101346 112014 118237 152019 236474 304038 354711 709422 1064133 1603009 2128266 3206018 4809027 9618054 11221063 14427081 22442126 28854162 30457171 33663189 60914342 67326378 78547441 91371513 100989567 157094882 182743026 201979134 203582143 213200197 235642323 274114539 407164286 426400394 471284646 548229078 610746429 639600591 706926969 1221492858 1279201182 1413853938 1425075001 1492401379 1832239287 1918801773 2850150002 2984802758 3664478574 3837603546 3868060717 4275225003 4477204137 7736121434 8550450006 8954408274 9975525007 11604182151 12825675009 13431612411 19951050014 23208364302 25651350018 26863224822 27076425019 29926575021 34812546453 54152850038 59853150042 69625092906 81229275057 89779725063 162458550114 179559450126 189534975133 243687825171 379069950266 487375650342 568604925399 1137209850798 1705814776197 3411629552394