Search a number
-
+
202105555032420 = 2232513215427430663
BaseRepresentation
bin101101111101000001011101…
…110100001001100101100100
3222111121002202121220010200200
4231331001131310021211210
5202442244134042014140
61553502002113110500
760366434026640064
oct5575013564114544
9874532677803620
10202105555032420
1159440536a31316
121a8014b1558430
1388a061a174500
1437c9d651d53a4
151857368ce7030
hexb7d05dd09964

202105555032420 has 216 divisors, whose sum is σ = 663883587896256. Its totient is φ = 49745719385856.

The previous prime is 202105555032419. The next prime is 202105555032473. The reversal of 202105555032420 is 24230555501202.

202105555032420 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 0 + 55 + 550 + 32 + 4 + 20 = 666.

202105555032420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469074009 + ... + 469504671.

Almost surely, 2202105555032420 is an apocalyptic number.

202105555032420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202105555032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331941793948128).

202105555032420 is an abundant number, since it is smaller than the sum of its proper divisors (461778032863836).

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

202105555032420 is a wasteful number, since it uses less digits than its factorization.

202105555032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446131 (or 446113 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 202105555032420 in words is "two hundred two trillion, one hundred five billion, five hundred fifty-five million, thirty-two thousand, four hundred twenty".