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20054512544 = 2511239725537
BaseRepresentation
bin10010101011010101…
…111001001110100000
31220202122002210101212
4102223111321032200
5312032423400134
613113553445252
71306653354413
oct225325711640
956678083355
1020054512544
118561282110
123a78270828
131b77a82c91
14d83635b7a
157c5937bce
hex4ab5793a0

20054512544 has 96 divisors (see below), whose sum is σ = 45409424256. Its totient is φ = 8629125120.

The previous prime is 20054512523. The next prime is 20054512549. The reversal of 20054512544 is 44521545002.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20054512544.

It is not an unprimeable number, because it can be changed into a prime (20054512549) 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 15 ways as a sum of consecutive naturals, for example, 772544 + ... + 798080.

It is an arithmetic number, because the mean of its divisors is an integer number (473014836).

Almost surely, 220054512544 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 20054512544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22704712128).

20054512544 is an abundant number, since it is smaller than the sum of its proper divisors (25354911712).

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

20054512544 is a wasteful number, since it uses less digits than its factorization.

20054512544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25678 (or 25670 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 20054512544 in words is "twenty billion, fifty-four million, five hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 97 176 184 194 253 352 368 388 506 736 776 1012 1067 1552 2024 2134 2231 3104 4048 4268 4462 8096 8536 8924 17072 17848 24541 25537 34144 35696 49082 51074 71392 98164 102148 196328 204296 280907 392656 408592 561814 587351 785312 817184 1123628 1174702 2247256 2349404 2477089 4494512 4698808 4954178 6460861 8989024 9397616 9908356 12921722 18795232 19816712 25843444 27247979 39633424 51686888 54495958 56973047 79266848 103373776 108991916 113946094 206747552 217983832 227892188 435967664 455784376 626703517 871935328 911568752 1253407034 1823137504 2506814068 5013628136 10027256272 20054512544