Search a number
-
+
42042652632 = 23324157724683
BaseRepresentation
bin100111001001111011…
…111111011111011000
311000112000200001010200
4213021323333133120
51142100404341012
631151503542200
73015566436201
oct471173773730
9130460601120
1042042652632
1116914a88212
128193bba960
133c70311966
14206b9aa5a8
151160ec23dc
hex9c9eff7d8

42042652632 has 96 divisors (see below), whose sum is σ = 116849612880. Its totient is φ = 13648158720.

The previous prime is 42042652583. The next prime is 42042652651. The reversal of 42042652632 is 23625624024.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1690963 + ... + 1715645.

Almost surely, 242042652632 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 42042652632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58424806440).

42042652632 is an abundant number, since it is smaller than the sum of its proper divisors (74806960248).

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

42042652632 is a wasteful number, since it uses less digits than its factorization.

42042652632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25313 (or 25306 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42042652632 in words is "forty-two billion, forty-two million, six hundred fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 577 738 984 1154 1476 1731 2308 2952 3462 4616 5193 6924 10386 13848 20772 23657 24683 41544 47314 49366 70971 74049 94628 98732 141942 148098 189256 197464 212913 222147 283884 296196 425826 444294 567768 592392 851652 888588 1012003 1703304 1777176 2024006 3036009 4048012 6072018 8096024 9108027 12144036 14242091 18216054 24288072 28484182 36432108 42726273 56968364 72864216 85452546 113936728 128178819 170905092 256357638 341810184 512715276 583925731 1025430552 1167851462 1751777193 2335702924 3503554386 4671405848 5255331579 7007108772 10510663158 14014217544 21021326316 42042652632