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45948451640 = 23571319664379
BaseRepresentation
bin101010110010101111…
…011011101100111000
311101121020010012010012
4222302233123230320
51223100300423030
633035230441052
73214434252260
oct526257335470
9141536105105
1045948451640
1118539780883
128aa4063188
134443570230
14231c5dc7a0
1512ddd3b095
hexab2bdbb38

45948451640 has 128 divisors (see below), whose sum is σ = 133939008000. Its totient is φ = 13776542208.

The previous prime is 45948451613. The next prime is 45948451673. The reversal of 45948451640 is 4615484954.

It is a super-2 number, since 2×459484516402 (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 263030 + ... + 401349.

It is an arithmetic number, because the mean of its divisors is an integer number (1046398500).

Almost surely, 245948451640 is an apocalyptic number.

45948451640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45948451640 is an abundant number, since it is smaller than the sum of its proper divisors (87990556360).

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

45948451640 is a wasteful number, since it uses less digits than its factorization.

45948451640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664429 (or 664425 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 45948451640 in words is "forty-five billion, nine hundred forty-eight million, four hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 364 380 455 494 520 532 665 728 760 910 988 1064 1235 1330 1729 1820 1976 2470 2660 3458 3640 4940 5320 6916 8645 9880 13832 17290 34580 69160 664379 1328758 2657516 3321895 4650653 5315032 6643790 8636927 9301306 12623201 13287580 17273854 18602612 23253265 25246402 26575160 34547708 37205224 43184635 46506530 50492804 60458489 63116005 69095416 86369270 88362407 93013060 100985608 120916978 126232010 164101613 172738540 176724814 186026120 241833956 252464020 302292445 328203226 345477080 353449628 441812035 483667912 504928040 604584890 656406452 706899256 820508065 883624070 1148711291 1209169780 1312812904 1641016130 1767248140 2297422582 2418339560 3282032260 3534496280 4594845164 5743556455 6564064520 9189690328 11487112910 22974225820 45948451640