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42649568128 = 271926115131
BaseRepresentation
bin100111101110000111…
…001100001110000000
311002002022200112200101
4213232013030032000
51144321242140003
631332024132144
73036616230136
oct475607141600
9132068615611
1042649568128
11170a6629872
128323307054
134038c8c15b
1420c8433756
15119940911d
hex9ee1cc380

42649568128 has 96 divisors (see below), whose sum is σ = 91149266520. Its totient is φ = 19869926400.

The previous prime is 42649568111. The next prime is 42649568141. The reversal of 42649568128 is 82186594624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811123 + ... + 2826253.

Almost surely, 242649568128 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 42649568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45574633260).

42649568128 is an abundant number, since it is smaller than the sum of its proper divisors (48499698392).

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

42649568128 is a wasteful number, since it uses less digits than its factorization.

42649568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15244 (or 15213 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 42649568128 in words is "forty-two billion, six hundred forty-nine million, five hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 128 152 244 304 361 488 608 722 976 1159 1216 1444 1952 2318 2432 2888 3904 4636 5776 7808 9272 11552 15131 18544 22021 23104 30262 37088 44042 46208 60524 74176 88084 121048 148352 176168 242096 287489 352336 484192 574978 704672 922991 968384 1149956 1409344 1845982 1936768 2299912 2818688 3691964 4599824 5462291 7383928 9199648 10924582 14767856 17536829 18399296 21849164 29535712 35073658 36798592 43698328 59071424 70147316 87396656 118142848 140294632 174793312 280589264 333199751 349586624 561178528 666399502 699173248 1122357056 1332799004 2244714112 2665598008 5331196016 10662392032 21324784064 42649568128