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20421012402 = 2327832816949
BaseRepresentation
bin10011000001001011…
…111110101110110010
31221201011201220200200
4103001023332232302
5313310234344102
613214205100030
71322023512210
oct230113765662
957634656620
1020421012402
11872a14695a
123b5ab57616
131c059953bb
14dba199cb0
157e7bd051c
hex4c12febb2

20421012402 has 96 divisors (see below), whose sum is σ = 51365059200. Its totient is φ = 5742938880.

The previous prime is 20421012401. The next prime is 20421012433.

20421012402 is a `hidden beast` number, since 2 + 0 + 421 + 0 + 1 + 240 + 2 = 666.

20421012402 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20421012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2935224 + ... + 2942172.

It is an arithmetic number, because the mean of its divisors is an integer number (535052700).

Almost surely, 220421012402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20421012402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25682529600).

20421012402 is an abundant number, since it is smaller than the sum of its proper divisors (30944046798).

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

20421012402 is a wasteful number, since it uses less digits than its factorization.

20421012402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 204210 and 12402, that added together give a palindrome (216612).

The spelling of 20421012402 in words is "twenty billion, four hundred twenty-one million, twelve thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 281 498 562 581 747 843 1162 1494 1686 1743 1967 2529 3486 3934 5058 5229 5901 6949 10458 11802 13898 17703 20847 23323 35406 41694 46646 48643 62541 69969 97286 125082 139938 145929 163261 209907 291858 326522 419814 437787 489783 576767 875574 979566 1153534 1469349 1730301 1952669 2938698 3460602 3905338 4037369 5190903 5858007 8074738 10381806 11716014 12112107 13668683 17574021 24224214 27337366 35148042 36336321 41006049 72672642 82012098 123018147 162071527 246036294 324143054 486214581 972429162 1134500689 1458643743 2269001378 2917287486 3403502067 6807004134 10210506201 20421012402