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16661228752 = 247316721069
BaseRepresentation
bin11111000010001011…
…00010110011010000
31121000011001010010101
433201011202303100
5233110233310002
611353135542144
71126611051640
oct174105426320
947004033111
1016661228752
11707a913843
12328b98a954
131756a6c14c
14b40ad6520
15677aaa587
hex3e1162cd0

16661228752 has 120 divisors (see below), whose sum is σ = 38695856640. Its totient is φ = 6800682240.

The previous prime is 16661228737. The next prime is 16661228827. The reversal of 16661228752 is 25782216661.

It is a congruent number.

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, 15585274 + ... + 15586342.

It is an arithmetic number, because the mean of its divisors is an integer number (322465472).

Almost surely, 216661228752 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 16661228752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347928320).

16661228752 is an abundant number, since it is smaller than the sum of its proper divisors (22034627888).

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

16661228752 is a wasteful number, since it uses less digits than its factorization.

16661228752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1176 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

It can be divided in two parts, 166612 and 28752, that added together give a square (195364 = 4422).

The spelling of 16661228752 in words is "sixteen billion, six hundred sixty-one million, two hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 112 124 134 217 248 268 434 469 496 536 868 938 1069 1072 1736 1876 2077 2138 3472 3752 4154 4276 4489 7483 7504 8308 8552 8978 14539 14966 16616 17104 17956 29078 29932 31423 33139 33232 35912 58156 59864 62846 66278 71623 71824 116312 119728 125692 132556 139159 143246 231973 232624 251384 265112 278318 286492 463946 501361 502768 530224 556636 572984 927892 974113 1002722 1113272 1145968 1855784 1948226 2005444 2220313 2226544 3711568 3896452 4010888 4440626 4798741 7792904 8021776 8881252 9597482 15542191 15585808 17762504 19194964 31084382 33591187 35525008 38389928 62168764 67182374 76779856 124337528 134364748 148760971 248675056 268729496 297521942 537458992 595043884 1041326797 1190087768 2082653594 2380175536 4165307188 8330614376 16661228752