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45352424000 = 265313436081
BaseRepresentation
bin101010001111001101…
…110001001001000000
311100001200120211220102
4222033031301021000
51220340210032000
632500135501532
73163606146332
oct521715611100
9140050524812
1045352424000
1118263296454
1289585278a8
134379c35760
1422a33ab452
1512a68553d5
hexa8f371240

45352424000 has 112 divisors (see below), whose sum is σ = 120955192176. Its totient is φ = 16745472000.

The previous prime is 45352423997. The next prime is 45352424057. The reversal of 45352424000 is 42425354.

It can be written as a sum of positive squares in 8 ways, for example, as 11816559616 + 33535864384 = 108704^2 + 183128^2 .

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, 114041 + ... + 322040.

It is an arithmetic number, because the mean of its divisors is an integer number (1079957073).

Almost surely, 245352424000 is an apocalyptic number.

45352424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45352424000 is an abundant number, since it is smaller than the sum of its proper divisors (75602768176).

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

45352424000 is a wasteful number, since it uses less digits than its factorization.

45352424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436121 (or 436101 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 45352424000 its reverse (42425354), we get a palindrome (45394849354).

The spelling of 45352424000 in words is "forty-five billion, three hundred fifty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 436081 872162 1744324 2180405 3488648 4360810 5669053 6977296 8721620 10902025 11338106 13954592 17443240 21804050 22676212 27909184 28345265 34886480 43608100 45352424 54510125 56690530 69772960 87216200 90704848 109020250 113381060 139545920 141726325 174432400 181409696 218040500 226762120 283452650 348864800 362819392 436081000 453524240 566905300 697729600 708631625 872162000 907048480 1133810600 1417263250 1744324000 1814096960 2267621200 2834526500 3488648000 4535242400 5669053000 9070484800 11338106000 22676212000 45352424000