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56814454784 = 2111710931493
BaseRepresentation
bin110100111010011001…
…111100100000000000
312102122111102100020002
4310322121330200000
51412324000023114
642033350535132
74050625616603
oct647231744000
9172574370202
1056814454784
112210530786a
12b0170674a8
1354857acaa9
142a6d78c33a
151727c5c7de
hexd3a67c800

56814454784 has 96 divisors (see below), whose sum is σ = 120474277560. Its totient is φ = 26693861376.

The previous prime is 56814454783. The next prime is 56814454793. The reversal of 56814454784 is 48745441865.

It can be written as a sum of positive squares in 4 ways, for example, as 51925648384 + 4888806400 = 227872^2 + 69920^2 .

It is not an unprimeable number, because it can be changed into a prime (56814454783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38053142 + ... + 38054634.

Almost surely, 256814454784 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 56814454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60237138780).

56814454784 is an abundant number, since it is smaller than the sum of its proper divisors (63659822776).

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

56814454784 is a wasteful number, since it uses less digits than its factorization.

56814454784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2605 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 56.

The spelling of 56814454784 in words is "fifty-six billion, eight hundred fourteen million, four hundred fifty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1093 1493 2048 2176 2186 2986 4352 4372 5972 8704 8744 11944 17408 17488 18581 23888 25381 34816 34976 37162 47776 50762 69952 74324 95552 101524 139904 148648 191104 203048 279808 297296 382208 406096 559616 594592 764416 812192 1119232 1189184 1528832 1624384 1631849 2238464 2378368 3057664 3248768 3263698 4756736 6497536 6527396 9513472 12995072 13054792 19026944 25990144 26109584 27741433 38053888 51980288 52219168 55482866 104438336 110965732 208876672 221931464 417753344 443862928 835506688 887725856 1671013376 1775451712 3342026752 3550903424 7101806848 14203613696 28407227392 56814454784