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20001245544 = 2333789148633
BaseRepresentation
bin10010101000001010…
…101100100101101000
31220121220212112211000
4102220022230211220
5311430304324134
613104412035000
71305435532140
oct225012544550
956556775730
1020001245544
1185341aa8a5
123a62462a60
131b69a22847
14d7a52b920
157c0e14e99
hex4a82ac968

20001245544 has 128 divisors (see below), whose sum is σ = 64209888000. Its totient is φ = 5650394112.

The previous prime is 20001245543. The next prime is 20001245573. The reversal of 20001245544 is 44554210002.

20001245544 is a `hidden beast` number, since 200 + 0 + 1 + 2 + 455 + 4 + 4 = 666.

It is a super-2 number, since 2×200012455442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20001245543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60252 + ... + 208884.

It is an arithmetic number, because the mean of its divisors is an integer number (501639750).

Almost surely, 220001245544 is an apocalyptic number.

20001245544 is a gapful number since it is divisible by the number (24) 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 20001245544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104944000).

20001245544 is an abundant number, since it is smaller than the sum of its proper divisors (44208642456).

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

20001245544 is a wasteful number, since it uses less digits than its factorization.

20001245544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148744 (or 148734 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 20001245544 its reverse (44554210002), we get a palindrome (64555455546).

The spelling of 20001245544 in words is "twenty billion, one million, two hundred forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 89 108 126 168 178 189 216 252 267 356 378 504 534 623 712 756 801 1068 1246 1512 1602 1869 2136 2403 2492 3204 3738 4806 4984 5607 6408 7476 9612 11214 14952 16821 19224 22428 33642 44856 67284 134568 148633 297266 445899 594532 891798 1040431 1189064 1337697 1783596 2080862 2675394 3121293 3567192 4013091 4161724 5350788 6242586 8026182 8323448 9363879 10701576 12485172 13228337 16052364 18727758 24970344 26456674 28091637 32104728 37455516 39685011 52913348 56183274 74911032 79370022 92598359 105826696 112366548 119055033 158740044 185196718 224733096 238110066 277795077 317480088 357165099 370393436 476220132 555590154 714330198 740786872 833385231 952440264 1111180308 1428660396 1666770462 2222360616 2500155693 2857320792 3333540924 5000311386 6667081848 10000622772 20001245544