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640023450525 = 3252891072811063
BaseRepresentation
bin10010101000001000101…
…11101101001110011101
32021012000100001000001200
421110010113231032131
540441232000404100
61210004523430113
764145243365464
oct11240427551635
92235010030050
10640023450525
11227483609338
12a405a685339
134847a830904
1422d979d79db
15119ad937e00
hex95045ed39d

640023450525 has 144 divisors (see below), whose sum is σ = 1175336023680. Its totient is φ = 332852889600.

The previous prime is 640023450523. The next prime is 640023450551. The reversal of 640023450525 is 525054320046.

640023450525 is a `hidden beast` number, since 64 + 0 + 0 + 23 + 4 + 50 + 525 = 666.

640023450525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 640023450525 - 21 = 640023450523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 640023450525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640023450523) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 602091144 + ... + 602092206.

It is an arithmetic number, because the mean of its divisors is an integer number (8162055720).

Almost surely, 2640023450525 is an apocalyptic number.

It is an amenable number.

640023450525 is a deficient number, since it is larger than the sum of its proper divisors (535312573155).

640023450525 is a wasteful number, since it uses less digits than its factorization.

640023450525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 640023450525 in words is "six hundred forty billion, twenty-three million, four hundred fifty thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 107 225 267 281 321 445 535 801 843 963 1063 1335 1405 1605 2225 2529 2675 3189 4005 4215 4815 5315 6675 7025 8025 9523 9567 12645 15945 20025 21075 24075 25009 26575 28569 30067 47615 47835 63225 75027 79725 85707 90201 94607 113741 125045 142845 150335 225081 238075 239175 270603 283821 298703 341223 375135 428535 451005 473035 568705 625225 714225 751675 851463 896109 1023669 1125405 1353015 1419105 1493515 1706115 1875675 2142675 2255025 2365175 2675963 2688327 2843525 4257315 4480545 5118345 5627025 6765075 7095525 7467575 8027889 8530575 10122949 13379815 13441635 21286575 22402725 24083667 25591725 26584567 30368847 31961221 40139445 50614745 66899075 67208175 79753701 91106541 95883663 120418335 132922835 151844235 159806105 200697225 239261103 253073725 287650989 398768505 455532705 479418315 602091675 664614175 759221175 799030525 1196305515 1438254945 1993842525 2277663525 2397091575 2844548669 5981527575 7191274725 8533646007 14222743345 25600938021 42668230035 71113716725 128004690105 213341150175 640023450525