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422025556752 = 243319268919121
BaseRepresentation
bin1100010010000101010…
…11101111001100010000
31111100022200112120202000
412021002223233030100
523403302020304002
6521513104154000
742330121021122
oct6110253571420
91440280476660
10422025556752
11152a86474168
126995b608900
1330a4886aa67
14165d74b7212
15aea03c461c
hex6242aef310

422025556752 has 160 divisors (see below), whose sum is σ = 1275666864000. Its totient is φ = 133214699520.

The previous prime is 422025556723. The next prime is 422025556793. The reversal of 422025556752 is 257655520224.

422025556752 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 25 + 556 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 422025556698 and 422025556707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22061752 + ... + 22080872.

It is an arithmetic number, because the mean of its divisors is an integer number (7972917900).

Almost surely, 2422025556752 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 422025556752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637833432000).

422025556752 is an abundant number, since it is smaller than the sum of its proper divisors (853641307248).

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

422025556752 is a wasteful number, since it uses less digits than its factorization.

422025556752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21846 (or 21834 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 422025556752 in words is "four hundred twenty-two billion, twenty-five million, five hundred fifty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2689 2736 4104 5378 8067 8208 10756 16134 19121 21512 24201 32268 38242 43024 48402 51091 57363 64536 72603 76484 96804 102182 114726 129072 145206 152968 153273 172089 193608 204364 229452 290412 305936 306546 344178 363299 387216 408728 458904 459819 516267 580824 613092 688356 726598 817456 917808 919638 1032534 1089897 1161648 1226184 1376712 1379457 1453196 1839276 2065068 2179794 2452368 2753424 2758914 2906392 3269691 3678552 4130136 4359588 5517828 5812784 6539382 7357104 8260272 8719176 9809073 11035656 13078764 17438352 19618146 22071312 26157528 39236292 51416369 52315056 78472584 102832738 154249107 156945168 205665476 308498214 411330952 462747321 616996428 822661904 925494642 976911011 1233992856 1388241963 1850989284 1953822022 2467985712 2776483926 2930733033 3701978568 3907644044 5552967852 5861466066 7403957136 7815288088 8792199099 11105935704 11722932132 15630576176 17584398198 22211871408 23445864264 26376597297 35168796396 46891728528 52753194594 70337592792 105506389188 140675185584 211012778376 422025556752