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469210226928 = 24317617931949
BaseRepresentation
bin1101101001111110001…
…10111110000011110000
31122212010001211011212220
412310333012332003300
530141420304230203
6555315135321040
745620316060162
oct6647706760360
91585101734786
10469210226928
11170a99a39253
1276b29680180
1335328273a41
14189d1d52932
15c312a02653
hex6d3f1be0f0

469210226928 has 80 divisors (see below), whose sum is σ = 1285509463200. Its totient is φ = 146964471808.

The previous prime is 469210226921. The next prime is 469210226951. The reversal of 469210226928 is 829622012964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469210226921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37498 + ... + 969446.

It is an arithmetic number, because the mean of its divisors is an integer number (16068868290).

Almost surely, 2469210226928 is an apocalyptic number.

469210226928 is a gapful number since it is divisible by the number (48) 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 469210226928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642754731600).

469210226928 is an abundant number, since it is smaller than the sum of its proper divisors (816299236272).

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

469210226928 is a wasteful number, since it uses less digits than its factorization.

469210226928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932594 (or 932588 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 469210226928 in words is "four hundred sixty-nine billion, two hundred ten million, two hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 617 816 1234 1851 2468 3702 4936 7404 9872 10489 14808 20978 29616 31467 41956 62934 83912 125868 167824 251736 503472 931949 1863898 2795847 3727796 5591694 7455592 11183388 14911184 15843133 22366776 31686266 44733552 47529399 63372532 95058798 126745064 190117596 253490128 380235192 575012533 760470384 1150025066 1725037599 2300050132 3450075198 4600100264 6900150396 9200200528 9775213061 13800300792 19550426122 27600601584 29325639183 39100852244 58651278366 78201704488 117302556732 156403408976 234605113464 469210226928