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16550561000 = 2353291972897
BaseRepresentation
bin11110110100111110…
…11000010011101000
31120201102210121111202
433122133120103220
5232343420423000
611334143543332
71124065306301
oct173237302350
946642717452
1016550561000
1170233a6496
12325a8bab48
131739b61b7c
14b301297a8
1566cee9dd5
hex3da7d84e8

16550561000 has 128 divisors (see below), whose sum is σ = 40281040800. Its totient is φ = 6357299200.

The previous prime is 16550560889. The next prime is 16550561017. The reversal of 16550561000 is 16505561.

It can be written as a sum of positive squares in 16 ways, for example, as 166048996 + 16384512004 = 12886^2 + 128002^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5711552 + ... + 5714448.

Almost surely, 216550561000 is an apocalyptic number.

16550561000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16550561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20140520400).

16550561000 is an abundant number, since it is smaller than the sum of its proper divisors (23730479800).

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

16550561000 is a wasteful number, since it uses less digits than its factorization.

16550561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 16550561000 in words is "sixteen billion, five hundred fifty million, five hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 197 200 232 250 290 394 500 580 725 788 985 1000 1160 1450 1576 1970 2897 2900 3625 3940 4925 5713 5794 5800 7250 7880 9850 11426 11588 14485 14500 19700 22852 23176 24625 28565 28970 29000 39400 45704 49250 57130 57940 72425 84013 98500 114260 115880 142825 144850 168026 197000 228520 285650 289700 336052 362125 420065 570709 571300 579400 672104 714125 724250 840130 1141418 1142600 1428250 1448500 1680260 2100325 2282836 2853545 2856500 2897000 3360520 4200650 4565672 5707090 5713000 8401300 10501625 11414180 14267725 16550561 16802600 21003250 22828360 28535450 33101122 42006500 57070900 66202244 71338625 82752805 84013000 114141800 132404488 142677250 165505610 285354500 331011220 413764025 570709000 662022440 827528050 1655056100 2068820125 3310112200 4137640250 8275280500 16550561000