Search a number
-
+
51543147648 = 273593676199
BaseRepresentation
bin110000000000001101…
…100000010010000000
311221001010112012020110
4300000031200102000
51321030021211043
635402324311320
73503200345326
oct600015402200
9157033465213
1051543147648
111a94a843793
129ba5842540
134b2568b445
1426cd665d16
15151a0b3b33
hexc00360480

51543147648 has 128 divisors (see below), whose sum is σ = 139633920000. Its totient is φ = 16841106432.

The previous prime is 51543147631. The next prime is 51543147703. The reversal of 51543147648 is 84674134515.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 51543147597 and 51543147606.

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, 8311653 + ... + 8317851.

It is an arithmetic number, because the mean of its divisors is an integer number (1090890000).

Almost surely, 251543147648 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 51543147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69816960000).

51543147648 is an abundant number, since it is smaller than the sum of its proper divisors (88090772352).

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

51543147648 is a wasteful number, since it uses less digits than its factorization.

51543147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6630 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 51543147648 in words is "fifty-one billion, five hundred forty-three million, one hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 367 384 472 708 734 944 1101 1416 1468 1888 2202 2832 2936 3776 4404 5664 5872 6199 7552 8808 11328 11744 12398 17616 18597 21653 22656 23488 24796 35232 37194 43306 46976 49592 64959 70464 74388 86612 99184 129918 140928 148776 173224 198368 259836 297552 346448 365741 396736 519672 595104 692896 731482 793472 1039344 1097223 1190208 1385792 1462964 2078688 2194446 2275033 2380416 2771584 2925928 4157376 4388892 4550066 5851856 6825099 8314752 8777784 9100132 11703712 13650198 17555568 18200264 23407424 27300396 35111136 36400528 46814848 54600792 70222272 72801056 109201584 134226947 140444544 145602112 218403168 268453894 291204224 402680841 436806336 536907788 805361682 873612672 1073815576 1610723364 2147631152 3221446728 4295262304 6442893456 8590524608 12885786912 17181049216 25771573824 51543147648