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2016893952 = 2103372949
BaseRepresentation
bin111100000110111…
…0101110000000000
312012120010211101000
41320031311300000
513112311101302
6532045012000
7100660213203
oct17015656000
95176124330
102016893952
11945536307
12483554000
13261b10a98
14151c1593a
15bc0ed31c
hex78375c00

2016893952 has 88 divisors (see below), whose sum is σ = 5973146000. Its totient is φ = 672288768.

The previous prime is 2016893933. The next prime is 2016893969. The reversal of 2016893952 is 2593986102.

It is a super-3 number, since 3×20168939523 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2016893898 and 2016893907.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8827 + ... + 64122.

Almost surely, 22016893952 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 2016893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986573000).

2016893952 is an abundant number, since it is smaller than the sum of its proper divisors (3956252048).

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

2016893952 is an equidigital number, since it uses as much as digits as its factorization.

2016893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72978 (or 72954 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2016893952 is about 44909.8424846937. The cubic root of 2016893952 is about 1263.4586155594.

The spelling of 2016893952 in words is "two billion, sixteen million, eight hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 72949 145898 218847 291796 437694 583592 656541 875388 1167184 1313082 1750776 1969623 2334368 2626164 3501552 3939246 4668736 5252328 7003104 7878492 9337472 10504656 14006208 15756984 18674944 21009312 28012416 31513968 37349888 42018624 56024832 63027936 74699776 84037248 112049664 126055872 168074496 224099328 252111744 336148992 504223488 672297984 1008446976 2016893952