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457968658938 = 23722983647161
BaseRepresentation
bin1101010101000010000…
…11110010100111111010
31121210002121211100122220
412222201003302213322
530000404434041223
6550215441424510
745041614241400
oct6524103624772
91553077740586
10457968658938
1116725040689a
127491093b136
133425629996b
1418246d5d470
15bda5b476e3
hex6aa10f29fa

457968658938 has 96 divisors (see below), whose sum is σ = 1115500196160. Its totient is φ = 124813866240.

The previous prime is 457968658921. The next prime is 457968658969. The reversal of 457968658938 is 839856869754.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384078 + ... + 1031238.

It is an arithmetic number, because the mean of its divisors is an integer number (11619793710).

Almost surely, 2457968658938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457968658938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557750098080).

457968658938 is an abundant number, since it is smaller than the sum of its proper divisors (657531537222).

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

457968658938 is a wasteful number, since it uses less digits than its factorization.

457968658938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647292 (or 647285 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 78.

The spelling of 457968658938 in words is "four hundred fifty-seven billion, nine hundred sixty-eight million, six hundred fifty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 83 87 98 147 166 174 203 249 294 406 498 581 609 1162 1218 1421 1743 2407 2842 3486 4067 4263 4814 7221 8134 8526 12201 14442 16849 24402 33698 50547 101094 117943 235886 353829 647161 707658 1294322 1941483 3882966 4530127 9060254 13590381 18767669 27180762 31710889 37535338 53714363 56303007 63421778 95132667 107428726 112606014 131373683 161143089 190265334 262747366 322286178 376000541 394121049 752001082 788242098 919615781 1128001623 1557716527 1839231562 2256003246 2632003787 2758847343 3115433054 4673149581 5264007574 5517694686 7896011361 9346299162 10904015689 15792022722 21808031378 32712047067 65424094134 76328109823 152656219646 228984329469 457968658938