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20210413032 = 233516363781
BaseRepresentation
bin10010110100101000…
…100110110111101000
31221011111110100200000
4102310220212313220
5312342331204112
613141243143000
71313555450655
oct226450466750
957144410600
1020210413032
118631284497
123b00514a60
131ba11697a4
14d9a218c2c
157d44807dc
hex4b4a26de8

20210413032 has 96 divisors (see below), whose sum is σ = 57112954080. Its totient is φ = 6695369280.

The previous prime is 20210413019. The next prime is 20210413033. The reversal of 20210413032 is 23031401202.

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

It is a junction number, because it is equal to n+sod(n) for n = 20210412996 and 20210413014.

It is not an unprimeable number, because it can be changed into a prime (20210413033) 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 23 ways as a sum of consecutive naturals, for example, 284982 + ... + 348762.

It is an arithmetic number, because the mean of its divisors is an integer number (594926605).

Almost surely, 220210413032 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 20210413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28556477040).

20210413032 is an abundant number, since it is smaller than the sum of its proper divisors (36902541048).

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

20210413032 is a wasteful number, since it uses less digits than its factorization.

20210413032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63965 (or 63949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20210413032 its reverse (23031401202), we get a palindrome (43241814234).

The spelling of 20210413032 in words is "twenty billion, two hundred ten million, four hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 216 243 324 326 486 489 648 652 972 978 1304 1467 1944 1956 2934 3912 4401 5868 8802 11736 13203 17604 26406 35208 39609 52812 63781 79218 105624 127562 158436 191343 255124 316872 382686 510248 574029 765372 1148058 1530744 1722087 2296116 3444174 4592232 5166261 6888348 10332522 10396303 13776696 15498783 20665044 20792606 30997566 31188909 41330088 41585212 61995132 62377818 83170424 93566727 123990264 124755636 187133454 249511272 280700181 374266908 561400362 748533816 842100543 1122800724 1684201086 2245601448 2526301629 3368402172 5052603258 6736804344 10105206516 20210413032