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34661516516 = 221131102124889
BaseRepresentation
bin100000010001111111…
…001100010011100100
310022110121202110212222
4200101333030103210
51031441322012031
623531232331512
72334642013004
oct402177142344
9108417673788
1034661516516
1113777582420
1268740a3b98
1333650706b3
14196b59a004
15d7cebde7b
hex811fcc4e4

34661516516 has 48 divisors (see below), whose sum is σ = 68376215040. Its totient is φ = 15231456000.

The previous prime is 34661516507. The next prime is 34661516521. The reversal of 34661516516 is 61561516643.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380200 + ... + 1405088.

It is an arithmetic number, because the mean of its divisors is an integer number (1424504480).

Almost surely, 234661516516 is an apocalyptic number.

It is an amenable number.

34661516516 is a deficient number, since it is larger than the sum of its proper divisors (33714698524).

34661516516 is a wasteful number, since it uses less digits than its factorization.

34661516516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25956 (or 25954 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The spelling of 34661516516 in words is "thirty-four billion, six hundred sixty-one million, five hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1021 1364 2042 4084 11231 22462 24889 31651 44924 49778 63302 99556 126604 273779 348161 547558 696322 771559 1095116 1392644 1543118 3086236 8487149 16974298 25411669 33948596 50823338 101646676 279528359 559056718 787761739 1118113436 1575523478 3151046956 8665379129 17330758258 34661516516