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457426242656 = 2547718948131
BaseRepresentation
bin1101010100000001011…
…10101000110001100000
31121201200211011202101222
412222000232220301200
524443302104231111
6550045543514212
745022306623665
oct6520056506140
91551624152358
10457426242656
11166aa2209479
127479b158968
133419aab3296
14181d4cc5a6c
15bd732017db
hex6a80ba8c60

457426242656 has 96 divisors (see below), whose sum is σ = 943171568640. Its totient is φ = 218209868800.

The previous prime is 457426242607. The next prime is 457426242673. The reversal of 457426242656 is 656242624754.

It is a junction number, because it is equal to n+sod(n) for n = 457426242598 and 457426242607.

It is a congruent number.

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, 9479711 + ... + 9527841.

It is an arithmetic number, because the mean of its divisors is an integer number (9824703840).

Almost surely, 2457426242656 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 457426242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471585784320).

457426242656 is an abundant number, since it is smaller than the sum of its proper divisors (485745325984).

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

457426242656 is a wasteful number, since it uses less digits than its factorization.

457426242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48348 (or 48340 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 53.

The spelling of 457426242656 in words is "four hundred fifty-seven billion, four hundred twenty-six million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 47 71 89 94 142 178 188 284 356 376 568 712 752 1136 1424 1504 2272 2848 3337 4183 6319 6674 8366 12638 13348 16732 25276 26696 33464 48131 50552 53392 66928 96262 101104 106784 133856 192524 202208 296993 385048 593986 770096 1187972 1540192 2262157 2375944 3417301 4283659 4524314 4751888 6834602 8567318 9048628 9503776 13669204 17134636 18097256 27338408 34269272 36194512 54676816 68538544 72389024 109353632 137077088 160613147 201331973 304139789 321226294 402663946 608279578 642452588 805327892 1216559156 1284905176 1610655784 2433118312 2569810352 3221311568 4866236624 5139620704 6442623136 9732473248 14294570083 28589140166 57178280332 114356560664 228713121328 457426242656