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20690264700 = 22335272198231
BaseRepresentation
bin10011010001001111…
…000110001001111100
31222101221101100102000
4103101033012021330
5314333201432300
613301024102300
71331503230300
oct232117061174
958357340360
1020690264700
11885812a116
124015164990
131c496b8aa1
141003c47d00
15811668c00
hex4d13c627c

20690264700 has 432 divisors, whose sum is σ = 81457286400. Its totient is φ = 4479753600.

The previous prime is 20690264671. The next prime is 20690264701. The reversal of 20690264700 is 746209602.

It is a happy number.

20690264700 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 0 + 2 + 647 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20690264701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2509585 + ... + 2517815.

Almost surely, 220690264700 is an apocalyptic number.

20690264700 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 20690264700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40728643200).

20690264700 is an abundant number, since it is smaller than the sum of its proper divisors (60767021700).

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

20690264700 is a wasteful number, since it uses less digits than its factorization.

20690264700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 20690 and 264700, that added together give a triangular number (285390 = T755).

The spelling of 20690264700 in words is "twenty billion, six hundred ninety million, two hundred sixty-four thousand, seven hundred".