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4909545432 = 2334111936251
BaseRepresentation
bin1001001001010000…
…11011011111011000
3110200011011202020000
410210220123133120
540023320423212
62131100333000
7232443306351
oct44450333730
913604152200
104909545432
11209a346170
12b50244160
136031aaa8c
14348076d28
151db03a1dc
hex124a1b7d8

4909545432 has 160 divisors (see below), whose sum is σ = 15791371200. Its totient is φ = 1409400000.

The previous prime is 4909545419. The next prime is 4909545439. The reversal of 4909545432 is 2345459094.

4909545432 is a `hidden beast` number, since 4 + 90 + 95 + 45 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4909545439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117307 + ... + 153557.

It is an arithmetic number, because the mean of its divisors is an integer number (98696070).

Almost surely, 24909545432 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 4909545432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895685600).

4909545432 is an abundant number, since it is smaller than the sum of its proper divisors (10881825768).

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

4909545432 is a wasteful number, since it uses less digits than its factorization.

4909545432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36299 (or 36286 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 4909545432 is about 70068.1484841722. The cubic root of 4909545432 is about 1699.6014558238.

The spelling of 4909545432 in words is "four billion, nine hundred nine million, five hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 198 209 216 228 264 297 324 342 396 418 456 513 594 627 648 684 792 836 891 1026 1188 1254 1368 1539 1672 1782 1881 2052 2376 2508 3078 3564 3762 4104 5016 5643 6156 7128 7524 11286 12312 15048 16929 22572 33858 36251 45144 67716 72502 108753 135432 145004 217506 290008 326259 398761 435012 652518 688769 797522 870024 978777 1196283 1305036 1377538 1595044 1957554 2066307 2392566 2610072 2755076 2936331 3190088 3588849 3915108 4132614 4785132 5510152 5872662 6198921 7177698 7576459 7830216 8265228 9570264 10766547 11745324 12397842 14355396 15152918 16530456 18596763 21533094 22729377 23490648 24795684 28710792 30305836 32299641 37193526 43066188 45458754 49591368 55790289 60611672 64599282 68188131 74387052 86132376 90917508 111580578 129198564 136376262 148774104 181835016 204564393 223161156 258397128 272752524 409128786 446322312 545505048 613693179 818257572 1227386358 1636515144 2454772716 4909545432