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500050000464 = 243723471376729
BaseRepresentation
bin1110100011011010100…
…11010111101001010000
31202210201100021222222120
413101231103113221100
531143100300003324
61021415250534240
751061463605320
oct7215523275120
91683640258876
10500050000464
111830852095a3
1280ab5897380
1338201606451
141a2b9b1b280
15d01a20d179
hex746d4d7a50

500050000464 has 160 divisors (see below), whose sum is σ = 1573305016320. Its totient is φ = 133751878656.

The previous prime is 500050000399. The next prime is 500050000469. The reversal of 500050000464 is 464000050005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500050000469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325149 + ... + 1051580.

It is an arithmetic number, because the mean of its divisors is an integer number (9833156352).

Almost surely, 2500050000464 is an apocalyptic number.

It is an amenable number.

500050000464 is an abundant number, since it is smaller than the sum of its proper divisors (1073255015856).

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

500050000464 is a wasteful number, since it uses less digits than its factorization.

500050000464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376817 (or 1376811 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 500050000464 its reverse (464000050005), we get a palindrome (964050050469).

The spelling of 500050000464 in words is "five hundred billion, fifty million, four hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 47 48 56 69 84 92 94 112 138 141 161 168 184 188 276 282 322 329 336 368 376 483 552 564 644 658 752 966 987 1081 1104 1128 1288 1316 1932 1974 2162 2256 2576 2632 3243 3864 3948 4324 5264 6486 7567 7728 7896 8648 12972 15134 15792 17296 22701 25944 30268 45402 51888 60536 90804 121072 181608 363216 1376729 2753458 4130187 5506916 8260374 9637103 11013832 16520748 19274206 22027664 28911309 31664767 33041496 38548412 57822618 63329534 64706263 66082992 77096824 94994301 115645236 126659068 129412526 154193648 189988602 194118789 221653369 231290472 253318136 258825052 379977204 388237578 443306738 452943841 462580944 506636272 517650104 664960107 759954408 776475156 886613476 905887682 1035300208 1329920214 1358831523 1488244049 1519908816 1552950312 1773226952 1811775364 2659840428 2717663046 2976488098 3105900624 3546453904 3623550728 4464732147 5319680856 5435326092 5952976196 7247101456 8929464294 10417708343 10639361712 10870652184 11905952392 17858928588 20835416686 21741304368 23811904784 31253125029 35717857176 41670833372 62506250058 71435714352 83341666744 125012500116 166683333488 250025000232 500050000464