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2157110016 = 28323294211
BaseRepresentation
bin1000000010010010…
…1110001100000000
312120022222112122120
42000210232030000
513404210010031
6554014204240
7104312063325
oct20044561400
95508875576
102157110016
11a076a5756
125024b3680
13284b95579
141666b4b4c
15c9598a96
hex8092e300

2157110016 has 144 divisors (see below), whose sum is σ = 6198716160. Its totient is φ = 663900160.

The previous prime is 2157109973. The next prime is 2157110023. The reversal of 2157110016 is 6100117512.

It is a super-2 number, since 2×21571100162 = 9306247242255040512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510151 + ... + 514361.

It is an arithmetic number, because the mean of its divisors is an integer number (43046640).

Almost surely, 22157110016 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 2157110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099358080).

2157110016 is an abundant number, since it is smaller than the sum of its proper divisors (4041606144).

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

2157110016 is a wasteful number, since it uses less digits than its factorization.

2157110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 2157110016 is about 46444.6984703314. The cubic root of 2157110016 is about 1292.0840491415.

Adding to 2157110016 its reverse (6100117512), we get a palindrome (8257227528).

The spelling of 2157110016 in words is "two billion, one hundred fifty-seven million, one hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 552 667 696 736 768 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 2944 3712 4002 4211 4416 5336 5568 5888 7424 8004 8422 8832 10672 11136 12633 16008 16844 17664 21344 22272 25266 32016 33688 42688 50532 64032 67376 85376 96853 101064 122119 128064 134752 170752 193706 202128 244238 256128 269504 290559 366357 387412 404256 488476 512256 539008 581118 732714 774824 808512 976952 1078016 1162236 1465428 1549648 1617024 1953904 2324472 2808737 2930856 3099296 3234048 3907808 4648944 5617474 5861712 6198592 7815616 8426211 9297888 11234948 11723424 12397184 15631232 16852422 18595776 22469896 23446848 24794368 31262464 33704844 37191552 44939792 46893696 67409688 74383104 89879584 93787392 134819376 179759168 269638752 359518336 539277504 719036672 1078555008 2157110016