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10642531734 = 233439747251
BaseRepresentation
bin10011110100101100…
…00010010110010110
31000110200210121222000
421322112002112112
5133243442003414
64520014220130
7524506012212
oct117226022626
930420717860
1010642531734
11457148267a
1220901b4646
131007b58073
1472d61b942
154244ccb09
hex27a582596

10642531734 has 64 divisors (see below), whose sum is σ = 24450074880. Its totient is φ = 3429216000.

The previous prime is 10642531727. The next prime is 10642531747. The reversal of 10642531734 is 43713524601.

10642531734 is a `hidden beast` number, since 1 + 0 + 642 + 5 + 3 + 1 + 7 + 3 + 4 = 666.

It is a super-2 number, since 2×106425317342 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201609 + ... + 248859.

It is an arithmetic number, because the mean of its divisors is an integer number (382032420).

Almost surely, 210642531734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642531734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225037440).

10642531734 is an abundant number, since it is smaller than the sum of its proper divisors (13807543146).

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

10642531734 is a wasteful number, since it uses less digits than its factorization.

10642531734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47402 (or 47396 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10642531734 in words is "ten billion, six hundred forty-two million, five hundred thirty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 97 129 194 258 291 387 582 774 873 1161 1746 2322 2619 4171 5238 8342 12513 25026 37539 47251 75078 94502 112617 141753 225234 283506 425259 850518 1275777 2031793 2551554 4063586 4583347 6095379 9166694 12190758 13750041 18286137 27500082 36572274 41250123 54858411 82500246 109716822 123750369 197083921 247500738 394167842 591251763 1182503526 1773755289 3547510578 5321265867 10642531734