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20455004544 = 2731328314479
BaseRepresentation
bin10011000011001101…
…101001100110000000
31221210112200220010220
4103003031221212000
5313342440121134
613221421423040
71322615445522
oct230315514600
957715626126
1020455004544
118747353737
123b6a40aa80
131c0ca374b0
14dc08c7a12
157eab97149
hex4c3369980

20455004544 has 128 divisors (see below), whose sum is σ = 58723929600. Its totient is φ = 6271174656.

The previous prime is 20455004543. The next prime is 20455004551. The reversal of 20455004544 is 44540055402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20455004543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405497 + ... + 1419975.

It is an arithmetic number, because the mean of its divisors is an integer number (458780700).

Almost surely, 220455004544 is an apocalyptic number.

20455004544 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 20455004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29361964800).

20455004544 is an abundant number, since it is smaller than the sum of its proper divisors (38268925056).

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

20455004544 is a wasteful number, since it uses less digits than its factorization.

20455004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14792 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 33.

Adding to 20455004544 its reverse (44540055402), we get a palindrome (64995059946).

The spelling of 20455004544 in words is "twenty billion, four hundred fifty-five million, four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 283 312 384 416 566 624 832 849 1132 1248 1664 1698 2264 2496 3396 3679 4528 4992 6792 7358 9056 11037 13584 14479 14716 18112 22074 27168 28958 29432 36224 43437 44148 54336 57916 58864 86874 88296 108672 115832 117728 173748 176592 188227 231664 235456 347496 353184 376454 463328 470912 564681 694992 706368 752908 926656 1129362 1389984 1412736 1505816 1853312 2258724 2779968 3011632 4097557 4517448 5559936 6023264 8195114 9034896 12046528 12292671 16390228 18069792 24093056 24585342 32780456 36139584 49170684 53268241 65560912 72279168 98341368 106536482 131121824 159804723 196682736 213072964 262243648 319609446 393365472 426145928 524487296 639218892 786730944 852291856 1278437784 1573461888 1704583712 2556875568 3409167424 5113751136 6818334848 10227502272 20455004544