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32042257051252 = 22723267103313471
BaseRepresentation
bin1110100100100011010110…
…10110010110111001110100
311012110012122222122020012111
413102101223112112321310
513144440020301120002
6152052002031300404
76514656000040360
oct722215326267164
9135405588566174
1032042257051252
11a234054846998
12371600707a704
1314b5758541256
147cabd40962a0
153a875c9c93d7
hex1d246b596e74

32042257051252 has 144 divisors (see below), whose sum is σ = 68652153536512. Its totient is φ = 12813620402880.

The previous prime is 32042257051249. The next prime is 32042257051253. The reversal of 32042257051252 is 25215075224023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32042257051253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102060877 + ... + 102374347.

Almost surely, 232042257051252 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 32042257051252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34326076768256).

32042257051252 is an abundant number, since it is smaller than the sum of its proper divisors (36609896485260).

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

32042257051252 is a wasteful number, since it uses less digits than its factorization.

32042257051252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313698 (or 313673 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 32042257051252 in words is "thirty-two trillion, forty-two billion, two hundred fifty-seven million, fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 46 67 92 103 134 161 206 268 322 412 469 529 644 721 938 1058 1442 1541 1876 2116 2369 2884 3082 3703 4738 6164 6901 7406 9476 10787 13802 14812 16583 21574 27604 33166 35443 43148 48307 54487 66332 70886 96614 108974 141772 158723 193228 217948 248101 313471 317446 381409 496202 626942 634892 762818 992404 1111061 1253884 1525636 2194297 2222122 3650629 4388594 4444244 7209833 7301258 8777188 14419666 14602516 21002557 25554403 28839332 32287513 42005114 50468831 51108806 64575026 84010228 100937662 102217612 129150052 147017899 165826159 201875324 226012591 294035798 331652318 452025182 483058811 588071596 663304636 742612799 904050364 966117622 1160783113 1485225598 1932235244 2163263371 2321566226 2970451196 3381411677 4326526742 4643132452 5198289593 6762823354 8653053484 10396579186 11110352653 13525646708 15142843597 17080094377 20793158372 22220705306 30285687194 34160188754 44441410612 49755057533 60571374388 68320377508 77772468571 99510115066 119560660639 155544937142 199020230132 239121321278 311089874284 348285402731 478242642556 696570805462 1144366323259 1393141610924 2288732646518 4577465293036 8010564262813 16021128525626 32042257051252