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56453345712 = 2433596593361
BaseRepresentation
bin110100100100111000…
…011011000110110000
312101201022221002201000
4310210320123012300
51411104024030322
641533451042000
74035652343511
oct644470330660
9171638832630
1056453345712
1121a3a495215
12ab36140300
135428a3729a
142a3782ca08
1517061cc3ac
hexd24e1b1b0

56453345712 has 160 divisors (see below), whose sum is σ = 165087648000. Its totient is φ = 18465269760.

The previous prime is 56453345681. The next prime is 56453345761. The reversal of 56453345712 is 21754335465.

56453345712 is a `hidden beast` number, since 5 + 6 + 4 + 533 + 45 + 71 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16794912 + ... + 16798272.

It is an arithmetic number, because the mean of its divisors is an integer number (1031797800).

Almost surely, 256453345712 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 56453345712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82543824000).

56453345712 is an abundant number, since it is smaller than the sum of its proper divisors (108634302288).

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

56453345712 is a wasteful number, since it uses less digits than its factorization.

56453345712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4084 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 56453345712 in words is "fifty-six billion, four hundred fifty-three million, three hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 659 708 944 1062 1318 1416 1593 1977 2124 2636 2832 3186 3361 3954 4248 5272 5931 6372 6722 7908 8496 10083 10544 11862 12744 13444 15816 17793 20166 23724 25488 26888 30249 31632 35586 38881 40332 47448 53776 60498 71172 77762 80664 90747 94896 116643 120996 142344 155524 161328 181494 198299 233286 241992 284688 311048 349929 362988 396598 466572 483984 594897 622096 699858 725976 793196 933144 1049787 1189794 1399716 1451952 1586392 1784691 1866288 2099574 2214899 2379588 2799432 3172784 3569382 4199148 4429798 4759176 5354073 5598864 6644697 7138764 8398296 8859596 9518352 10708146 13289394 14277528 16796592 17719192 19934091 21416292 26578788 28555056 35438384 39868182 42832584 53157576 59802273 79736364 85665168 106315152 119604546 130679041 159472728 239209092 261358082 318945456 392037123 478418184 522716164 784074246 956836368 1045432328 1176111369 1568148492 2090864656 2352222738 3136296984 3528334107 4704445476 6272593968 7056668214 9408890952 14113336428 18817781904 28226672856 56453345712