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42033504500 = 22531331337619
BaseRepresentation
bin100111001001011001…
…000110000011110100
311000111101110021020222
4213021121012003310
51142041034121000
631150535513512
73015425615231
oct471131060364
9130441407228
1042033504500
111690a8aa079
128190b28898
133c6b45aa70
14206a6a8788
1511602b6a85
hex9c96460f4

42033504500 has 192 divisors, whose sum is σ = 102520104960. Its totient is φ = 14950656000.

The previous prime is 42033504497. The next prime is 42033504503. The reversal of 42033504500 is 540533024.

It is an interprime number because it is at equal distance from previous prime (42033504497) and next prime (42033504503).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42033504500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033504503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67905191 + ... + 67905809.

It is an arithmetic number, because the mean of its divisors is an integer number (533958880).

Almost surely, 242033504500 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 42033504500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51260052480).

42033504500 is an abundant number, since it is smaller than the sum of its proper divisors (60486600460).

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

42033504500 is a wasteful number, since it uses less digits than its factorization.

42033504500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The spelling of 42033504500 in words is "forty-two billion, thirty-three million, five hundred four thousand, five hundred".