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21904919432 = 23112672712
BaseRepresentation
bin10100011001101000…
…101000101110001000
32002112120222012110022
4110121220220232020
5324330124410212
614021334240012
71403552512604
oct243150505610
962476865408
1021904919432
119320835200
1242b3ab6008
1320b12416b6
1410bb2b0504
158830eb772
hex519a28b88

21904919432 has 108 divisors (see below), whose sum is σ = 46483382295. Its totient is φ = 9670029600.

The previous prime is 21904919401. The next prime is 21904919437. The reversal of 21904919432 is 23491940912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10952459716 + 10952459716 = 104654^2 + 104654^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104654.

It is a super-2 number, since 2×219049194322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21904919437) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 308519957 + ... + 308520027.

Almost surely, 221904919432 is an apocalyptic number.

21904919432 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 21904919432

21904919432 is an abundant number, since it is smaller than the sum of its proper divisors (24578462863).

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

21904919432 is an equidigital number, since it uses as much as digits as its factorization.

21904919432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 21904919432 in words is "twenty-one billion, nine hundred four million, nine hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 67 71 88 121 134 142 242 268 284 484 536 568 737 781 968 1474 1562 2948 3124 4489 4757 5041 5896 6248 8107 8591 8978 9514 10082 16214 17182 17956 19028 20164 32428 34364 35912 38056 40328 49379 52327 55451 64856 68728 98758 104654 110902 197516 209308 221804 318719 337747 395032 418616 443608 543169 575597 609961 637438 675494 1086338 1151194 1219922 1274876 1350988 2172676 2302388 2439844 2549752 2701976 3505909 3715217 4345352 4604776 4879688 7011818 7430434 14023636 14860868 22629049 28047272 29721736 38564999 40867387 45258098 77129998 81734774 90516196 154259996 163469548 181032392 248919539 308519992 326939096 497839078 995678156 1991356312 2738114929 5476229858 10952459716 21904919432