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10051534000 = 24538116197
BaseRepresentation
bin10010101110001111…
…00011110010110000
3221221111201211111001
421113013203302300
5131041143042000
64341223131344
7504041425564
oct112707436260
927844654431
1010051534000
1142989132a2
121b462a3b54
13c42591b71
146b4d396a4
153dc68c46a
hex2571e3cb0

10051534000 has 80 divisors (see below), whose sum is σ = 24338504736. Its totient is φ = 4015008000.

The previous prime is 10051533949. The next prime is 10051534013. The reversal of 10051534000 is 43515001.

10051534000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1618902 + ... + 1625098.

Almost surely, 210051534000 is an apocalyptic number.

10051534000 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 10051534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169252368).

10051534000 is an abundant number, since it is smaller than the sum of its proper divisors (14286970736).

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

10051534000 is an equidigital number, since it uses as much as digits as its factorization.

10051534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The spelling of 10051534000 in words is "ten billion, fifty-one million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 811 1000 1622 2000 3244 4055 6197 6488 8110 12394 12976 16220 20275 24788 30985 32440 40550 49576 61970 64880 81100 99152 101375 123940 154925 162200 202750 247880 309850 324400 405500 495760 619700 774625 811000 1239400 1549250 1622000 2478800 3098500 5025767 6197000 10051534 12394000 20103068 25128835 40206136 50257670 80412272 100515340 125644175 201030680 251288350 402061360 502576700 628220875 1005153400 1256441750 2010306800 2512883500 5025767000 10051534000