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10164715008 = 29377731223
BaseRepresentation
bin10010111011101110…
…10011111000000000
3222020101201000122020
421131313103320000
5131304131340013
64400345041440
7506614436430
oct113567237000
928211630566
1010164715008
114346797918
121b78186280
13c5cb6c086
146c5d9c2c0
153e7597623
hex25ddd3e00

10164715008 has 160 divisors (see below), whose sum is σ = 31013300736. Its totient is φ = 2898075648.

The previous prime is 10164714971. The next prime is 10164715049. The reversal of 10164715008 is 80051746101.

It is a happy number.

10164715008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10164715008.

It is a congruent number.

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, 8310685 + ... + 8311907.

Almost surely, 210164715008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506650368).

10164715008 is an abundant number, since it is smaller than the sum of its proper divisors (20848585728).

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

10164715008 is an equidigital number, since it uses as much as digits as its factorization.

10164715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10164715008 in words is "ten billion, one hundred sixty-four million, seven hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 773 896 1223 1344 1536 1546 1792 2319 2446 2688 3092 3584 3669 4638 4892 5376 5411 6184 7338 8561 9276 9784 10752 10822 12368 14676 16233 17122 18552 19568 21644 24736 25683 29352 32466 34244 37104 39136 43288 49472 51366 58704 64932 68488 74208 78272 86576 98944 102732 117408 129864 136976 148416 156544 173152 197888 205464 234816 259728 273952 296832 313088 346304 395776 410928 469632 519456 547904 593664 626176 692608 821856 939264 945379 1038912 1095808 1187328 1385216 1643712 1878528 1890758 2077824 2191616 2770432 2836137 3287424 3781516 4155648 4383232 5672274 6574848 6617653 7563032 8311296 11344548 13149696 13235306 15126064 19852959 22689096 26470612 30252128 39705918 45378192 52941224 60504256 79411836 90756384 105882448 121008512 158823672 181512768 211764896 242017024 317647344 363025536 423529792 484034048 635294688 726051072 847059584 1270589376 1452102144 1694119168 2541178752 3388238336 5082357504 10164715008