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21830486256 = 243526920873
BaseRepresentation
bin10100010101001100…
…101100100011110000
32002100101220121100000
4110111030230203300
5324202101030011
614010115030000
71401660033345
oct242514544360
962311817300
1021830486256
119292816487
124292b9b300
13209b9b00b7
1410b14567cc
1587b7e7356
hex51532c8f0

21830486256 has 120 divisors (see below), whose sum is σ = 63596398320. Its totient is φ = 7249430016.

The previous prime is 21830486243. The next prime is 21830486269. The reversal of 21830486256 is 65268403812.

21830486256 is a `hidden beast` number, since 2 + 18 + 3 + 0 + 4 + 8 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21830486243) and next prime (21830486269).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035436 + ... + 1056308.

It is an arithmetic number, because the mean of its divisors is an integer number (529969986).

Almost surely, 221830486256 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 21830486256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31798199160).

21830486256 is an abundant number, since it is smaller than the sum of its proper divisors (41765912064).

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

21830486256 is a wasteful number, since it uses less digits than its factorization.

21830486256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21147 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21830486256 in words is "twenty-one billion, eight hundred thirty million, four hundred eighty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 269 324 432 486 538 648 807 972 1076 1296 1614 1944 2152 2421 3228 3888 4304 4842 6456 7263 9684 12912 14526 19368 20873 21789 29052 38736 41746 43578 58104 62619 65367 83492 87156 116208 125238 130734 166984 174312 187857 250476 261468 333968 348624 375714 500952 522936 563571 751428 1001904 1045872 1127142 1502856 1690713 2254284 3005712 3381426 4508568 5072139 5614837 6762852 9017136 10144278 11229674 13525704 16844511 20288556 22459348 27051408 33689022 40577112 44918696 50533533 67378044 81154224 89837392 101067066 134756088 151600599 202134132 269512176 303201198 404268264 454801797 606402396 808536528 909603594 1212804792 1364405391 1819207188 2425609584 2728810782 3638414376 5457621564 7276828752 10915243128 21830486256