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21993071232 = 2731118472819
BaseRepresentation
bin10100011110111000…
…111010001010000000
32002202201211202222210
4110132320322022000
5330020211234412
614034203502120
71406003010126
oct243670721200
962681752883
1021993071232
119366573a30
124319527940
1320c6597322
1410c8c99916
1588ac1083c
hex51ee3a280

21993071232 has 128 divisors (see below), whose sum is σ = 63787046400. Its totient is φ = 6658595840.

The previous prime is 21993071231. The next prime is 21993071249. The reversal of 21993071232 is 23217039912.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21993071231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7800319 + ... + 7803137.

It is an arithmetic number, because the mean of its divisors is an integer number (498336300).

Almost surely, 221993071232 is an apocalyptic number.

21993071232 is a gapful number since it is divisible by the number (22) 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 21993071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31893523200).

21993071232 is an abundant number, since it is smaller than the sum of its proper divisors (41793975168).

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

21993071232 is a wasteful number, since it uses less digits than its factorization.

21993071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 21993071232 in words is "twenty-one billion, nine hundred ninety-three million, seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 1847 2112 2819 3694 4224 5541 5638 7388 8457 11082 11276 14776 16914 20317 22164 22552 29552 31009 33828 40634 44328 45104 59104 60951 62018 67656 81268 88656 90208 93027 118208 121902 124036 135312 162536 177312 180416 186054 236416 243804 248072 270624 325072 354624 360832 372108 487608 496144 541248 650144 709248 744216 975216 992288 1082496 1300288 1488432 1950432 1984576 2600576 2976864 3900864 3969152 5206693 5953728 7801728 10413386 11907456 15620079 20826772 31240158 41653544 57273623 62480316 83307088 114547246 124960632 166614176 171820869 229094492 249921264 333228352 343641738 458188984 499842528 666456704 687283476 916377968 999685056 1374566952 1832755936 1999370112 2749133904 3665511872 5498267808 7331023744 10996535616 21993071232