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42006651804 = 223213317194027
BaseRepresentation
bin100111000111110010…
…101010001110011100
311000102111221000021200
4213013302222032130
51142012200324204
631144140155500
73014651435415
oct470762521634
9130374830250
1042006651804
11168a6729267
128183b38b90
133c65a184b0
142066cb880c
15115cc60539
hex9c7caa39c

42006651804 has 144 divisors (see below), whose sum is σ = 118233722880. Its totient is φ = 12487685760.

The previous prime is 42006651767. The next prime is 42006651821. The reversal of 42006651804 is 40815660024.

It is a super-4 number, since 4×420066518044 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10429239 + ... + 10433265.

It is an arithmetic number, because the mean of its divisors is an integer number (821067520).

Almost surely, 242006651804 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 42006651804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59116861440).

42006651804 is an abundant number, since it is smaller than the sum of its proper divisors (76227071076).

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

42006651804 is a wasteful number, since it uses less digits than its factorization.

42006651804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42006651804 in words is "forty-two billion, six million, six hundred fifty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 719 806 1116 1209 1438 1612 2157 2418 2876 3627 4027 4314 4836 6471 7254 8054 8628 9347 12081 12942 14508 16108 18694 22289 24162 25884 28041 36243 37388 44578 48324 52351 56082 66867 72486 84123 89156 104702 112164 124837 133734 144972 157053 168246 200601 209404 249674 267468 289757 314106 336492 374511 401202 471159 499348 579514 628212 749022 802404 869271 942318 1123533 1159028 1498044 1622881 1738542 1884636 2247066 2607813 2895413 3245762 3477084 4494132 4868643 5215626 5790826 6491524 8686239 9737286 10431252 11581652 14605929 17372478 19474572 26058717 29211858 34744956 37640369 52117434 58423716 75280738 89757803 104234868 112921107 150561476 179515606 225842214 269273409 338763321 359031212 451684428 538546818 677526642 807820227 1077093636 1166851439 1355053284 1615640454 2333702878 3231280908 3500554317 4667405756 7001108634 10501662951 14002217268 21003325902 42006651804