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501943419642 = 23731990714153
BaseRepresentation
bin1110100110111100010…
…10001100001011111010
31202222121022002122210210
413103132022030023322
531210440003412032
61022331205251550
751156424446000
oct7233612141372
91688538078723
10501943419642
11183966a7a435
1281343a03bb6
1338443974822
141a419390a70
15d0cb56b2cc
hex74de28c2fa

501943419642 has 128 divisors (see below), whose sum is σ = 1233775872000. Its totient is φ = 135704999808.

The previous prime is 501943419641. The next prime is 501943419647. The reversal of 501943419642 is 246914349105.

It is a super-2 number, since 2×5019434196422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 501943419591 and 501943419600.

It is not an unprimeable number, because it can be changed into a prime (501943419641) 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, 35458438 + ... + 35472590.

It is an arithmetic number, because the mean of its divisors is an integer number (9638874000).

Almost surely, 2501943419642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501943419642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616887936000).

501943419642 is an abundant number, since it is smaller than the sum of its proper divisors (731832452358).

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

501943419642 is a wasteful number, since it uses less digits than its factorization.

501943419642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 501943419642 in words is "five hundred one billion, nine hundred forty-three million, four hundred nineteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 907 931 1029 1814 1862 2058 2721 2793 5442 5586 6349 6517 12698 13034 14153 17233 19047 19551 28306 34466 38094 39102 42459 44443 51699 84918 88886 99071 103398 120631 133329 198142 241262 266658 268907 297213 311101 361893 537814 594426 622202 693497 723786 806721 844417 933303 1386994 1613442 1688834 1866606 1882349 2080491 2533251 3764698 4160982 4854479 5066502 5647047 5910919 9708958 11294094 11821838 12836771 13176443 14563437 17732757 25673542 26352886 29126874 35465514 38510313 39529329 77020626 79058658 89857397 92235101 179714794 184470202 243898649 269572191 276705303 487797298 539144382 553410606 629001779 731695947 1258003558 1463391894 1707290543 1887005337 3414581086 3774010674 4403012453 5121871629 8806024906 10243743258 11951033801 13209037359 23902067602 26418074718 35853101403 71706202806 83657236607 167314473214 250971709821 501943419642