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35440420624 = 2471931375309
BaseRepresentation
bin100001000000011010…
…011110011100010000
310101110220101220110021
4201000122132130100
51040040221424444
624140415113224
72363150414320
oct410032363420
9111426356407
1035440420624
1114037214624
126a50b12814
13345a5483bb
141a02bd3280
15dc657a584
hex84069e710

35440420624 has 80 divisors (see below), whose sum is σ = 82647388800. Its totient is φ = 14382047232.

The previous prime is 35440420607. The next prime is 35440420637. The reversal of 35440420624 is 42602404453.

It is a self number, because there is not a number n which added to its sum of digits gives 35440420624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6672882 + ... + 6678190.

It is an arithmetic number, because the mean of its divisors is an integer number (1033092360).

Almost surely, 235440420624 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 35440420624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41323694400).

35440420624 is an abundant number, since it is smaller than the sum of its proper divisors (47206968176).

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

35440420624 is a wasteful number, since it uses less digits than its factorization.

35440420624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The spelling of 35440420624 in words is "thirty-five billion, four hundred forty million, four hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 3137 5309 6274 10618 12548 21236 21959 25096 37163 42472 43918 50192 59603 74326 84944 87836 100871 119206 148652 175672 201742 238412 297304 351344 403484 417221 476824 594608 706097 806968 834442 953648 1412194 1613936 1668884 2824388 3337768 5648776 6675536 11297552 16654333 33308666 66617332 116580331 133234664 233160662 266469328 316432327 466321324 632864654 932642648 1265729308 1865285296 2215026289 2531458616 4430052578 5062917232 8860105156 17720210312 35440420624