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21274714350 = 23252672632683
BaseRepresentation
bin10011110100000100…
…100110000011101110
32000220200010110121100
4103310010212003232
5322032311324400
613435022543530
71352131042161
oct236404460356
960820113540
1021274714350
11902802685a
124158a37ba6
1320107cb696
14105b703ad8
15847b14100
hex4f41260ee

21274714350 has 144 divisors (see below), whose sum is σ = 58253450112. Its totient is φ = 5565257280.

The previous prime is 21274714303. The next prime is 21274714399. The reversal of 21274714350 is 5341747212.

21274714350 is a `hidden beast` number, since 21 + 274 + 7 + 14 + 350 = 666.

It is a super-2 number, since 2×212747143502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7928109 + ... + 7930791.

It is an arithmetic number, because the mean of its divisors is an integer number (404537848).

Almost surely, 221274714350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21274714350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29126725056).

21274714350 is an abundant number, since it is smaller than the sum of its proper divisors (36978735762).

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

21274714350 is a wasteful number, since it uses less digits than its factorization.

21274714350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21274714350 in words is "twenty-one billion, two hundred seventy-four million, seven hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 67 75 90 134 150 201 225 263 335 402 450 526 603 670 789 1005 1206 1315 1578 1675 2010 2367 2630 2683 3015 3350 3945 4734 5025 5366 6030 6575 7890 8049 10050 11835 13150 13415 15075 16098 17621 19725 23670 24147 26830 30150 35242 39450 40245 48294 52863 59175 67075 80490 88105 105726 118350 120735 134150 158589 176210 179761 201225 241470 264315 317178 359522 402450 440525 528630 539283 603675 705629 792945 881050 898805 1078566 1207350 1321575 1411258 1585890 1617849 1797610 2116887 2643150 2696415 3235698 3528145 3964725 4233774 4494025 5392830 6350661 7056290 7929450 8089245 8988050 10584435 12701322 13482075 16178490 17640725 21168870 26964150 31753305 35281450 40446225 47277143 52922175 63506610 80892450 94554286 105844350 141831429 158766525 236385715 283662858 317533050 425494287 472771430 709157145 850988574 1181928575 1418314290 2127471435 2363857150 3545785725 4254942870 7091571450 10637357175 21274714350