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10132004224 = 27293773771
BaseRepresentation
bin10010110111110101…
…00001110110000000
3222011010011010212201
421123322201312000
5131222243113344
64353220002544
7506036420626
oct113372416600
928133133781
1010132004224
11432a285811
121b69230454
13c56158294
146c18c5516
153e47854d4
hex25bea1d80

10132004224 has 64 divisors (see below), whose sum is σ = 21445520400. Its totient is φ = 4759050240.

The previous prime is 10132004191. The next prime is 10132004231. The reversal of 10132004224 is 42240023101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100459 + ... + 174229.

Almost surely, 210132004224 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 10132004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722760200).

10132004224 is an abundant number, since it is smaller than the sum of its proper divisors (11313516176).

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

10132004224 is an equidigital number, since it uses as much as digits as its factorization.

10132004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73851 (or 73839 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10132004224 its reverse (42240023101), we get a palindrome (52372027325).

The spelling of 10132004224 in words is "ten billion, one hundred thirty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 296 464 592 928 1073 1184 1856 2146 2368 3712 4292 4736 8584 17168 34336 68672 73771 137344 147542 295084 590168 1180336 2139359 2360672 2729527 4278718 4721344 5459054 8557436 9442688 10918108 17114872 21836216 34229744 43672432 68459488 79156283 87344864 136918976 158312566 174689728 273837952 316625132 349379456 633250264 1266500528 2533001056 5066002112 10132004224