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4630561434 = 2322330736433
BaseRepresentation
bin1000101000000000…
…01100001010011010
3102221201012220010100
410110000030022122
533440410431214
62043253000230
7222515060052
oct42400141232
912851186110
104630561434
111a66916384
12a92923076
1358a45a9a5
1431cdb4562
151c17cd309
hex11400c29a

4630561434 has 48 divisors (see below), whose sum is σ = 10503484992. Its totient is φ = 1471561344.

The previous prime is 4630561417. The next prime is 4630561469. The reversal of 4630561434 is 4341650364.

4630561434 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 5 + 614 + 34 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108882 + ... + 145314.

It is an arithmetic number, because the mean of its divisors is an integer number (218822604).

Almost surely, 24630561434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4630561434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251742496).

4630561434 is an abundant number, since it is smaller than the sum of its proper divisors (5872923558).

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

4630561434 is a wasteful number, since it uses less digits than its factorization.

4630561434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36771 (or 36768 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4630561434 is about 68048.2287352140. The cubic root of 4630561434 is about 1666.7784756902.

The spelling of 4630561434 in words is "four billion, six hundred thirty million, five hundred sixty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 307 414 614 921 1842 2763 5526 7061 14122 21183 36433 42366 63549 72866 109299 127098 218598 327897 655794 837959 1675918 2513877 5027754 7541631 11184931 15083262 22369862 33554793 67109586 100664379 201328758 257253413 514506826 771760239 1543520478 2315280717 4630561434