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20131633062 = 23223367132499
BaseRepresentation
bin10010101111111100…
…000101011110100110
31220222000012220212100
4102233330011132212
5312212144224222
613125350432530
71311611025522
oct225774053646
956860186770
1020131633062
1185a0866982
123a9a062746
131b8aa45818
14d8d98cd82
157cc5bd4ac
hex4aff057a6

20131633062 has 48 divisors (see below), whose sum is σ = 45639360000. Its totient is φ = 6401243376.

The previous prime is 20131633061. The next prime is 20131633069. The reversal of 20131633062 is 26033613102.

It is a happy number.

20131633062 is a `hidden beast` number, since 20 + 1 + 3 + 1 + 633 + 0 + 6 + 2 = 666.

It is a super-2 number, since 2×201316330622 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131633061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85689 + ... + 218187.

It is an arithmetic number, because the mean of its divisors is an integer number (950820000).

Almost surely, 220131633062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131633062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819680000).

20131633062 is an abundant number, since it is smaller than the sum of its proper divisors (25507726938).

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

20131633062 is a wasteful number, since it uses less digits than its factorization.

20131633062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132897 (or 132894 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 20131633062 in words is "twenty billion, one hundred thirty-one million, six hundred thirty-three thousand, sixty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 367 414 734 1101 2202 3303 6606 8441 16882 25323 50646 75969 132499 151938 264998 397497 794994 1192491 2384982 3047477 6094954 9142431 18284862 27427293 48627133 54854586 97254266 145881399 291762798 437644197 875288394 1118424059 2236848118 3355272177 6710544354 10065816531 20131633062