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424345946661 = 33713478344273
BaseRepresentation
bin1100010110011001111…
…11010100101000100101
31111120022101202121022000
412023030333110220211
523423030030243121
6522535234155513
742441455014230
oct6131477245045
91446271677260
10424345946661
11153a6725147a
126a2a8722b99
1331028501940
1416777732417
15b088e72526
hex62ccfd4a25

424345946661 has 128 divisors (see below), whose sum is σ = 799737200640. Its totient is φ = 216424203264.

The previous prime is 424345946639. The next prime is 424345946671. The reversal of 424345946661 is 166649543424.

424345946661 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 424345946661 - 210 = 424345945637 is a prime.

It is a super-4 number, since 4×4243459466614 (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 424345946598 and 424345946607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424345946671) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9562621 + ... + 9606893.

It is an arithmetic number, because the mean of its divisors is an integer number (6247946880).

Almost surely, 2424345946661 is an apocalyptic number.

It is an amenable number.

424345946661 is a deficient number, since it is larger than the sum of its proper divisors (375391253979).

424345946661 is a wasteful number, since it uses less digits than its factorization.

424345946661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44432 (or 44426 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 424345946661 in words is "four hundred twenty-four billion, three hundred forty-five million, nine hundred forty-six thousand, six hundred sixty-one".

Divisors: 1 3 7 9 13 21 27 39 47 63 83 91 117 141 189 249 273 329 351 423 581 611 747 819 987 1079 1269 1743 1833 2241 2457 2961 3237 3901 4277 5229 5499 7553 8883 9711 11703 12831 15687 16497 22659 27307 29133 35109 38493 44273 50713 67977 81921 105327 115479 132819 152139 203931 245763 309911 354991 398457 456417 575549 737289 929733 1064973 1195371 1369251 1726647 2080831 2789199 3194919 3674659 4028843 5179941 6242493 8367597 9584757 11023977 12086529 14565817 15539823 18727479 25722613 27050803 33071931 36259587 43697451 47770567 56182437 77167839 81152409 99215793 108778761 131092353 143311701 172708973 189355621 231503517 243457227 334393969 393277059 429935103 518126919 568066863 694510551 730371681 1003181907 1208962811 1289805309 1554380757 1704200589 2245216649 3009545721 3626888433 4663142271 5112601767 6735649947 9028637163 10880665299 15716516543 20206949841 32641995897 47149549629 60620849523 141448648887 424345946661