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21034591488 = 283323132313
BaseRepresentation
bin10011100101110000…
…100110010100000000
32000021221021221222000
4103211300212110000
5321034323411423
613355124144000
71343154035421
oct234560462400
960257257860
1021034591488
118a14529a09
1240b0538000
131ca2b36951
141037879648
158319d1843
hex4e5c26500

21034591488 has 144 divisors (see below), whose sum is σ = 64907955840. Its totient is φ = 6706630656.

The previous prime is 21034591483. The next prime is 21034591519. The reversal of 21034591488 is 88419543012.

21034591488 is a `hidden beast` number, since 2 + 10 + 3 + 4 + 591 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21034591483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92820 + ... + 225132.

Almost surely, 221034591488 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 21034591488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32453977920).

21034591488 is an abundant number, since it is smaller than the sum of its proper divisors (43873364352).

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

21034591488 is a wasteful number, since it uses less digits than its factorization.

21034591488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132361 (or 132341 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21034591488 in words is "twenty-one billion, thirty-four million, five hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 132313 158976 264626 396939 529252 793878 1058504 1190817 1587756 2117008 2381634 3043199 3175512 3572451 4234016 4763268 6086398 6351024 7144902 8468032 9129597 9526536 12172796 12702048 14289804 16936064 18259194 19053072 24345592 25404096 27388791 28579608 33872128 36518388 38106144 48691184 50808192 54777582 57159216 73036776 76212288 82166373 97382368 101616384 109555164 114318432 146073552 152424576 164332746 194764736 219110328 228636864 292147104 304849152 328665492 389529472 438220656 457273728 584294208 657330984 779058944 876441312 914547456 1168588416 1314661968 1752882624 2337176832 2629323936 3505765248 5258647872 7011530496 10517295744 21034591488