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42682950252 = 22325332996781
BaseRepresentation
bin100111110000000110…
…100010001001101100
311002011122111112100100
4213300012202021230
51144403313402002
631335215431100
73040503043125
oct476006421154
9132148445310
1042682950252
111711345a2a8
128332525490
134042b796a7
1420cca4304c
15119c30011c
hex9f01a226c

42682950252 has 72 divisors (see below), whose sum is σ = 109978268400. Its totient is φ = 13952914560.

The previous prime is 42682950227. The next prime is 42682950269. The reversal of 42682950252 is 25205928624.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42682950198 and 42682950207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6291102 + ... + 6297882.

It is an arithmetic number, because the mean of its divisors is an integer number (1527475950).

Almost surely, 242682950252 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 42682950252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54989134200).

42682950252 is an abundant number, since it is smaller than the sum of its proper divisors (67295318148).

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

42682950252 is a wasteful number, since it uses less digits than its factorization.

42682950252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10143 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 42682950252 in words is "forty-two billion, six hundred eighty-two million, nine hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 3299 6598 6781 9897 13196 13562 19794 20343 27124 29691 39588 40686 59382 61029 81372 118764 122058 174847 244116 349694 359393 524541 699388 718786 1049082 1078179 1437572 1573623 2098164 2156358 3147246 3234537 4312716 6294492 6469074 12938148 22370519 44741038 67111557 89482076 134223114 201334671 268446228 402669342 805338684 1185637507 2371275014 3556912521 4742550028 7113825042 10670737563 14227650084 21341475126 42682950252