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22125005410432 = 271713177616347
BaseRepresentation
bin1010000011111011000010…
…00101101001000010000000
32220100010111200001011101211
411001331201011221002000
510344444002341113212
6115020030454535504
74442323155002461
oct501754105510200
986303450034354
1022125005410432
117060186835981
122593b83667594
13c464c0a36892
14566bdab22d68
152857c748d9a7
hex141f61169080

22125005410432 has 64 divisors (see below), whose sum is σ = 47026192926240. Its totient is φ = 10332287979520.

The previous prime is 22125005410397. The next prime is 22125005410439. The reversal of 22125005410432 is 23401450052122.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22125005410394 and 22125005410403.

It is not an unprimeable number, because it can be changed into a prime (22125005410439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38523118 + ... + 39093229.

Almost surely, 222125005410432 is an apocalyptic number.

It is an amenable number.

22125005410432 is an abundant number, since it is smaller than the sum of its proper divisors (24901187515808).

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

22125005410432 is a wasteful number, since it uses less digits than its factorization.

22125005410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77616509 (or 77616497 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 22125005410432 its reverse (23401450052122), we get a palindrome (45526455462554).

The spelling of 22125005410432 in words is "twenty-two trillion, one hundred twenty-five billion, five million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 131 136 262 272 524 544 1048 1088 2096 2176 2227 4192 4454 8384 8908 16768 17816 35632 71264 142528 285056 77616347 155232694 310465388 620930776 1241861552 1319477899 2483723104 2638955798 4967446208 5277911596 9934892416 10167741457 10555823192 20335482914 21111646384 40670965828 42223292768 81341931656 84446585536 162683863312 168893171072 172851604769 325367726624 345703209538 650735453248 691406419076 1301470906496 1382812838152 2765625676304 5531251352608 11062502705216 22125005410432