Search a number
-
+
55783581696 = 2113219159287
BaseRepresentation
bin110011111100111101…
…011110100000000000
312022222122122120012100
4303330331132200000
51403221044103241
641343203430400
74013240422653
oct637475364000
9168878576170
1055783581696
1121726417637
12a989985400
13535005340b
1429b28c589a
1516b74cd9b6
hexcfcf5e800

55783581696 has 144 divisors (see below), whose sum is σ = 169593933600. Its totient is φ = 17615757312.

The previous prime is 55783581661. The next prime is 55783581701. The reversal of 55783581696 is 69618538755.

55783581696 is a `hidden beast` number, since 5 + 578 + 3 + 58 + 1 + 6 + 9 + 6 = 666.

55783581696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×557835816962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270565 + ... + 429851.

It is an arithmetic number, because the mean of its divisors is an integer number (1177735650).

Almost surely, 255783581696 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 55783581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84796966800).

55783581696 is an abundant number, since it is smaller than the sum of its proper divisors (113810351904).

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

55783581696 is a wasteful number, since it uses less digits than its factorization.

55783581696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159334 (or 159311 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 55783581696 in words is "fifty-five billion, seven hundred eighty-three million, five hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4608 4864 5472 6144 7296 9216 9728 10944 14592 18432 19456 21888 29184 38912 43776 58368 87552 116736 159287 175104 318574 350208 477861 637148 955722 1274296 1433583 1911444 2548592 2867166 3026453 3822888 5097184 5734332 6052906 7645776 9079359 10194368 11468664 12105812 15291552 18158718 20388736 22937328 24211624 27238077 30583104 36317436 40777472 45874656 48423248 54476154 61166208 72634872 81554944 91749312 96846496 108952308 122332416 145269744 163109888 183498624 193692992 217904616 244664832 290539488 326219776 366997248 387385984 435809232 489329664 581078976 733994496 774771968 871618464 978659328 1162157952 1467988992 1549543936 1743236928 2324315904 2935977984 3099087872 3486473856 4648631808 6198175744 6972947712 9297263616 13945895424 18594527232 27891790848 55783581696