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42647035242 = 23722393371801
BaseRepresentation
bin100111101101111101…
…100001110101101010
311002002010220212012210
4213231331201311222
51144320120111432
631331453545550
73036555550500
oct475575416552
9132063825183
1042647035242
11170a5159879
1283224a52b6
1340385b32c6
1420c7d74670
1511990a88cc
hex9edf61d6a

42647035242 has 96 divisors (see below), whose sum is σ = 99985916160. Its totient is φ = 12091161600.

The previous prime is 42647035187. The next prime is 42647035271. The reversal of 42647035242 is 24253074624.

It is a super-2 number, since 2×426470352422 (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 42647035242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23678742 + ... + 23680542.

It is an arithmetic number, because the mean of its divisors is an integer number (1041519960).

Almost surely, 242647035242 is an apocalyptic number.

42647035242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42647035242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49992958080).

42647035242 is an abundant number, since it is smaller than the sum of its proper divisors (57338880918).

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

42647035242 is a wasteful number, since it uses less digits than its factorization.

42647035242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 42647035242 in words is "forty-two billion, six hundred forty-seven million, thirty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 239 294 337 478 674 717 1011 1434 1673 1801 2022 2359 3346 3602 4718 5019 5403 7077 10038 10806 11711 12607 14154 16513 23422 25214 33026 35133 37821 49539 70266 75642 80543 88249 99078 161086 176498 241629 264747 430439 483258 529494 563801 606937 860878 1127602 1213874 1291317 1691403 1820811 2582634 3013073 3382806 3641622 3946607 4248559 6026146 7893214 8497118 9039219 11839821 12745677 18078438 21091511 23679642 25491354 29739913 42183022 59479826 63274533 89219739 126549066 145057943 178439478 290115886 435173829 870347658 1015405601 2030811202 3046216803 6092433606 7107839207 14215678414 21323517621 42647035242