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56778968832 = 283672274861
BaseRepresentation
bin110100111000010010…
…100100111100000000
312102120000122110122120
4310320102210330000
51412240404000312
642030042204240
74050015162165
oct647022447400
9172500573576
1056778968832
112209727a733
12b0071b3680
13547b336aa1
142a68b9206c
151724a9d28c
hexd384a4f00

56778968832 has 144 divisors (see below), whose sum is σ = 154077635712. Its totient is φ = 18557890560.

The previous prime is 56778968759. The next prime is 56778968843. The reversal of 56778968832 is 23886987765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11678082 + ... + 11682942.

Almost surely, 256778968832 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 56778968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77038817856).

56778968832 is an abundant number, since it is smaller than the sum of its proper divisors (97298666880).

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

56778968832 is a wasteful number, since it uses less digits than its factorization.

56778968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5160 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 69.

The spelling of 56778968832 in words is "fifty-six billion, seven hundred seventy-eight million, nine hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 227 256 268 384 402 454 536 681 768 804 908 1072 1362 1608 1816 2144 2724 3216 3632 4288 4861 5448 6432 7264 8576 9722 10896 12864 14528 14583 15209 17152 19444 21792 25728 29056 29166 30418 38888 43584 45627 51456 58112 58332 60836 77776 87168 91254 116664 121672 155552 174336 182508 233328 243344 311104 325687 365016 466656 486688 622208 651374 730032 933312 973376 977061 1103447 1244416 1302748 1460064 1866624 1946752 1954122 2206894 2605496 2920128 3310341 3733248 3893504 3908244 4413788 5210992 5840256 6620682 7816488 8827576 10421984 11680512 13241364 15632976 17655152 20843968 26482728 31265952 35310304 41687936 52965456 62531904 70620608 73930949 83375872 105930912 125063808 141241216 147861898 211861824 221792847 250127616 282482432 295723796 423723648 443585694 591447592 847447296 887171388 1182895184 1774342776 2365790368 3548685552 4731580736 7097371104 9463161472 14194742208 18926322944 28389484416 56778968832