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10152226356512 = 254717352174891
BaseRepresentation
bin1001001110111011111111…
…0110000111110100100000
31022221112200002222101200112
42103232333312013310200
52312313224421402022
633331511324110452
72065321430130002
oct223567766076440
938845602871615
1010152226356512
113264598123829
12117b6a0095428
13588473a36aa6
1427152845c372
151291391e88e2
hex93bbfd87d20

10152226356512 has 96 divisors (see below), whose sum is σ = 20570126701824. Its totient is φ = 4929846937600.

The previous prime is 10152226356511. The next prime is 10152226356533. The reversal of 10152226356512 is 21565362225101.

It is a super-2 number, since 2×101522263565122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10152226356512.

It is not an unprimeable number, because it can be changed into a prime (10152226356511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135522587 + ... + 135597477.

It is an arithmetic number, because the mean of its divisors is an integer number (214272153144).

Almost surely, 210152226356512 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 10152226356512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285063350912).

10152226356512 is an abundant number, since it is smaller than the sum of its proper divisors (10417900345312).

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

10152226356512 is a wasteful number, since it uses less digits than its factorization.

10152226356512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75642 (or 75634 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 10152226356512 in words is "ten trillion, one hundred fifty-two billion, two hundred twenty-six million, three hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 173 188 346 376 521 692 752 1042 1384 1504 2084 2768 4168 5536 8131 8336 16262 16672 24487 32524 48974 65048 74891 90133 97948 130096 149782 180266 195896 260192 299564 360532 391792 599128 721064 783584 1198256 1442128 2396512 2884256 3519877 4236251 7039754 8472502 12956143 14079508 16945004 25912286 28159016 33890008 39018211 51824572 56318032 67780016 78036422 103649144 112636064 135560032 156072844 207298288 312145688 414596576 608938721 624291376 1217877442 1248582752 1833855917 2435754884 3667711834 4871509768 6750150503 7335423668 9743019536 13500301006 14670847336 19486039072 27000602012 29341694672 54001204024 58683389344 108002408048 216004816096 317257073641 634514147282 1269028294564 2538056589128 5076113178256 10152226356512