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23905034942646 = 231113177159228929
BaseRepresentation
bin1010110111101110100110…
…00111011011100010110110
310010122022001222122110012110
411123313103013123202312
511113130002421131041
6122501453233231450
75015040023246424
oct533672307334266
9103568058573173
1023905034942646
117687083027530
122820b57a02586
131045309744230
145c901d0d6114
152b6c58b61516
hex15bdd31db8b6

23905034942646 has 128 divisors (see below), whose sum is σ = 59481068774400. Its totient is φ = 6292479836160.

The previous prime is 23905034942641. The next prime is 23905034942647. The reversal of 23905034942646 is 64624943050932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23905034942641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104306710 + ... + 104535638.

It is an arithmetic number, because the mean of its divisors is an integer number (464695849800).

Almost surely, 223905034942646 is an apocalyptic number.

23905034942646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23905034942646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29740534387200).

23905034942646 is an abundant number, since it is smaller than the sum of its proper divisors (35576033831754).

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

23905034942646 is a wasteful number, since it uses less digits than its factorization.

23905034942646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236134.

The product of its (nonzero) digits is 33592320, while the sum is 57.

The spelling of 23905034942646 in words is "twenty-three trillion, nine hundred five billion, thirty-four million, nine hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 7159 7293 14318 14586 21477 42954 78749 93067 121703 157498 186134 228929 236247 243406 279201 365109 457858 472494 558402 686787 730218 1023737 1338733 1373574 1582139 2047474 2518219 2677466 2976077 3071211 3164278 3891793 4016199 4746417 5036438 5952154 6142422 7554657 7783586 8032398 8928231 9492834 11675379 15109314 17403529 17856462 23350758 32736847 34807058 42809723 50593309 52210587 65473694 85619446 98210541 101186618 104421174 128429169 151779927 196421082 256858338 303559854 556526399 1113052798 1638902711 1669579197 3277805422 3339158394 4916708133 9833416266 18027929821 21305735243 27861346087 36055859642 42611470486 54083789463 55722692174 63917205729 83584038261 108167578926 127834411458 167168076522 234363087673 306474806957 362197499131 468726175346 612949613914 703089263019 724394998262 919424420871 1086592497393 1406178526038 1838848841742 2173184994786 3984172490441 7968344980882 11952517471323 23905034942646