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21673445152 = 253159675527
BaseRepresentation
bin10100001011110101…
…101000011100100000
32001221110102002102211
4110023311220130200
5323341400221102
613542345051504
71365042146512
oct241365503440
961843362384
1021673445152
119212105147
12424a486b94
1320752b7378
141098657bb2
1586cb267d7
hex50bd68720

21673445152 has 96 divisors (see below), whose sum is σ = 45469347840. Its totient is φ = 10153693440.

The previous prime is 21673445147. The next prime is 21673445173. The reversal of 21673445152 is 25154437612.

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, 3918613 + ... + 3924139.

It is an arithmetic number, because the mean of its divisors is an integer number (473639040).

Almost surely, 221673445152 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 21673445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734673920).

21673445152 is an abundant number, since it is smaller than the sum of its proper divisors (23795902688).

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

21673445152 is a wasteful number, since it uses less digits than its factorization.

21673445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5686 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The spelling of 21673445152 in words is "twenty-one billion, six hundred seventy-three million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 59 62 67 118 124 134 236 248 268 472 496 536 944 992 1072 1829 1888 2077 2144 3658 3953 4154 5527 7316 7906 8308 11054 14632 15812 16616 22108 29264 31624 33232 44216 58528 63248 66464 88432 122543 126496 171337 176864 245086 326093 342674 370309 490172 652186 685348 740618 980344 1304372 1370696 1481236 1960688 2608744 2741392 2962472 3921376 5217488 5482784 5924944 10108883 10434976 11479579 11849888 20217766 21848231 22959158 40435532 43696462 45918316 80871064 87392924 91836632 161742128 174785848 183673264 323484256 349571696 367346528 677295161 699143392 1354590322 2709180644 5418361288 10836722576 21673445152