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42598127730 = 23523717971091
BaseRepresentation
bin100111101011000010…
…111101100001110010
311001221201220002201110
4213223002331201302
51144220110041410
631322545414150
73035423053134
oct475302754162
9131851802643
1042598127730
111707a594944
12830a03a356
13402b41b252
1420c1683054
151194b47720
hex9eb0bd872

42598127730 has 128 divisors (see below), whose sum is σ = 108418093056. Its totient is φ = 10689324800.

The previous prime is 42598127711. The next prime is 42598127771. The reversal of 42598127730 is 3772189524.

It is a happy number.

It is a super-2 number, since 2×425981277302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42598127730.

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 63 ways as a sum of consecutive naturals, for example, 39044485 + ... + 39045575.

It is an arithmetic number, because the mean of its divisors is an integer number (847016352).

Almost surely, 242598127730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42598127730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54209046528).

42598127730 is an abundant number, since it is smaller than the sum of its proper divisors (65819965326).

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

42598127730 is a wasteful number, since it uses less digits than its factorization.

42598127730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 42598127730 in words is "forty-two billion, five hundred ninety-eight million, one hundred twenty-seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 230 345 355 426 690 710 797 1065 1091 1594 1633 2130 2182 2391 3266 3273 3985 4782 4899 5455 6546 7970 8165 9798 10910 11955 16330 16365 18331 23910 24495 25093 32730 36662 48990 50186 54993 56587 75279 77461 91655 109986 113174 125465 150558 154922 169761 183310 232383 250930 274965 282935 339522 376395 387305 464766 549930 565870 752790 774610 848805 869527 1161915 1301501 1697610 1739054 1781603 2323830 2603002 2608581 3563206 3904503 4347635 5217162 5344809 6507505 7809006 8695270 8908015 10689618 13015010 13042905 17816030 19522515 19999121 26085810 26724045 39045030 39998242 53448090 59997363 61736417 99995605 119994726 123472834 185209251 199991210 299986815 308682085 370418502 599973630 617364170 926046255 1419937591 1852092510 2839875182 4259812773 7099687955 8519625546 14199375910 21299063865 42598127730