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42914821950 = 233527112132887
BaseRepresentation
bin100111111101111011…
…000011011100111110
311002202210210211112000
4213331323003130332
51200342143300300
631414221323130
73046316652660
oct477573033476
9132683724460
1042914821950
1117222330a00
1283981064a6
13407bc12890
142111760530
1511b2852c00
hex9fdec373e

42914821950 has 576 divisors, whose sum is σ = 160033090560. Its totient is φ = 8228563200.

The previous prime is 42914821949. The next prime is 42914821973. The reversal of 42914821950 is 5912841924.

It is a happy number.

42914821950 is a `hidden beast` number, since 429 + 1 + 4 + 8 + 219 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42914821896 and 42914821905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14863407 + ... + 14866293.

Almost surely, 242914821950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42914821950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80016545280).

42914821950 is an abundant number, since it is smaller than the sum of its proper divisors (117118268610).

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

42914821950 is a wasteful number, since it uses less digits than its factorization.

42914821950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 42914821950 in words is "forty-two billion, nine hundred fourteen million, eight hundred twenty-one thousand, nine hundred fifty".