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10234941664 = 251726371537
BaseRepresentation
bin10011000100000110…
…01101000011100000
3222102021211220111111
421202003031003200
5131430121113124
64411334153104
7511426366033
oct114203150340
928367756444
1010234941664
1143823a3182
121b977b2794
13c71589acc
146d143d01a
153ed81a494
hex2620cd0e0

10234941664 has 48 divisors (see below), whose sum is σ = 21416760288. Its totient is φ = 4798062592.

The previous prime is 10234941583. The next prime is 10234941697. The reversal of 10234941664 is 46614943201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107304 + ... + 178840.

It is an arithmetic number, because the mean of its divisors is an integer number (446182506).

Almost surely, 210234941664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234941664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708380144).

10234941664 is an abundant number, since it is smaller than the sum of its proper divisors (11181818624).

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

10234941664 is a wasteful number, since it uses less digits than its factorization.

10234941664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71827 (or 71819 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 10234941664 in words is "ten billion, two hundred thirty-four million, nine hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 263 272 526 544 1052 2104 4208 4471 8416 8942 17884 35768 71536 71537 143072 143074 286148 572296 1144592 1216129 2289184 2432258 4864516 9729032 18814231 19458064 37628462 38916128 75256924 150513848 301027696 319841927 602055392 639683854 1279367708 2558735416 5117470832 10234941664