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10210825008 = 24353377793
BaseRepresentation
bin10011000001001110…
…01101001100110000
3222100121110122200000
421200213031030300
5131402432400013
64405113230000
7511014403056
oct114047151460
928317418600
1010210825008
11436a820a5a
121b8b702300
13c695949b7
146cc1621d6
153eb654973
hex2609cd330

10210825008 has 120 divisors (see below), whose sum is σ = 29726253648. Its totient is φ = 3393073152.

The previous prime is 10210825007. The next prime is 10210825057. The reversal of 10210825008 is 80052801201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10210825007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1306360 + ... + 1314152.

Almost surely, 210210825008 is an apocalyptic number.

10210825008 is a gapful number since it is divisible by the number (18) 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 10210825008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863126824).

10210825008 is an abundant number, since it is smaller than the sum of its proper divisors (19515428640).

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

10210825008 is an equidigital number, since it uses as much as digits as its factorization.

10210825008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10210825008 in words is "ten billion, two hundred ten million, eight hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 337 432 486 648 674 972 1011 1296 1348 1944 2022 2696 3033 3888 4044 5392 6066 7793 8088 9099 12132 15586 16176 18198 23379 24264 27297 31172 36396 46758 48528 54594 62344 70137 72792 81891 93516 109188 124688 140274 145584 163782 187032 210411 218376 280548 327564 374064 420822 436752 561096 631233 655128 841644 1122192 1262466 1310256 1683288 1893699 2524932 2626241 3366576 3787398 5049864 5252482 7574796 7878723 10099728 10504964 15149592 15757446 21009928 23636169 30299184 31514892 42019856 47272338 63029784 70908507 94544676 126059568 141817014 189089352 212725521 283634028 378178704 425451042 567268056 638176563 850902084 1134536112 1276353126 1701804168 2552706252 3403608336 5105412504 10210825008