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10045326000 = 243536772473
BaseRepresentation
bin10010101101011111…
…11000001010110000
3221221002001102201010
421112233320022300
5131033100413000
64340442110520
7503634601503
oct112657701260
927832042633
1010045326000
114295363116
121b441ab440
13c411ca2a8
146b41a113a
153dbd62d50
hex256bf82b0

10045326000 has 160 divisors (see below), whose sum is σ = 32447083968. Its totient is φ = 2673715200.

The previous prime is 10045325999. The next prime is 10045326001. The reversal of 10045326000 is 62354001.

It is a happy number.

10045326000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10045325999) and next prime (10045326001).

It is not an unprimeable number, because it can be changed into a prime (10045326001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4060764 + ... + 4063236.

Almost surely, 210045326000 is an apocalyptic number.

10045326000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10045326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223541984).

10045326000 is an abundant number, since it is smaller than the sum of its proper divisors (22401757968).

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

10045326000 is a wasteful number, since it uses less digits than its factorization.

10045326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 10045326000 in words is "ten billion, forty-five million, three hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 677 750 1000 1200 1354 1500 2000 2031 2473 2708 3000 3385 4062 4946 5416 6000 6770 7419 8124 9892 10155 10832 12365 13540 14838 16248 16925 19784 20310 24730 27080 29676 32496 33850 37095 39568 40620 49460 50775 54160 59352 61825 67700 74190 81240 84625 98920 101550 118704 123650 135400 148380 162480 169250 185475 197840 203100 247300 253875 270800 296760 309125 338500 370950 406200 494600 507750 593520 618250 677000 741900 812400 927375 989200 1015500 1236500 1354000 1483800 1674221 1854750 2031000 2473000 2967600 3348442 3709500 4062000 4946000 5022663 6696884 7419000 8371105 10045326 13393768 14838000 16742210 20090652 25113315 26787536 33484420 40181304 41855525 50226630 66968840 80362608 83711050 100453260 125566575 133937680 167422100 200906520 209277625 251133150 334844200 401813040 418555250 502266300 627832875 669688400 837110500 1004532600 1255665750 1674221000 2009065200 2511331500 3348442000 5022663000 10045326000