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21450174096 = 24313156721937
BaseRepresentation
bin10011111110100001…
…111010111010010000
32001100220021202010110
4103332201322322100
5322412221032341
613504251401320
71356361320501
oct237641727220
961326252113
1021450174096
11910807830a
1241a7753240
13203ac72b10
141076b38ba8
15858222216
hex4fe87ae90

21450174096 has 80 divisors (see below), whose sum is σ = 59716289024. Its totient is φ = 6595540992.

The previous prime is 21450174091. The next prime is 21450174103. The reversal of 21450174096 is 69047105412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (21450174091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966840 + ... + 988776.

Almost surely, 221450174096 is an apocalyptic number.

21450174096 is a gapful number since it is divisible by the number (26) 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 21450174096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29858144512).

21450174096 is an abundant number, since it is smaller than the sum of its proper divisors (38266114928).

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

21450174096 is a wasteful number, since it uses less digits than its factorization.

21450174096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23528 (or 23522 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 21450174096 in words is "twenty-one billion, four hundred fifty million, one hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1567 3134 4701 6268 9402 12536 18804 20371 21937 25072 37608 40742 43874 61113 65811 75216 81484 87748 122226 131622 162968 175496 244452 263244 285181 325936 350992 488904 526488 570362 855543 977808 1052976 1140724 1711086 2281448 3422172 4562896 6844344 13688688 34375279 68750558 103125837 137501116 206251674 275002232 412503348 446878627 550004464 825006696 893757254 1340635881 1650013392 1787514508 2681271762 3575029016 5362543524 7150058032 10725087048 21450174096