Search a number
-
+
10478492544 = 2731318111597
BaseRepresentation
bin10011100001001000…
…10001101110000000
31000001021010120111110
421300210101232000
5132424443230134
64451434243320
7520444500642
oct116044215600
930037116443
1010478492544
1144979215a3
122045286540
13cacb81c60
1471591a892
15414dc87e9
hex270911b80

10478492544 has 128 divisors (see below), whose sum is σ = 30142738080. Its totient is φ = 3206062080.

The previous prime is 10478492509. The next prime is 10478492569. The reversal of 10478492544 is 44529487401.

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 = 10478492493 and 10478492502.

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, 897754 + ... + 909350.

Almost surely, 210478492544 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 10478492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071369040).

10478492544 is an abundant number, since it is smaller than the sum of its proper divisors (19664245536).

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

10478492544 is a wasteful number, since it uses less digits than its factorization.

10478492544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11808 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 10478492544 in words is "ten billion, four hundred seventy-eight million, four hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 181 192 208 312 362 384 416 543 624 724 832 1086 1248 1448 1664 2172 2353 2496 2896 4344 4706 4992 5792 7059 8688 9412 11584 11597 14118 17376 18824 23168 23194 28236 34752 34791 37648 46388 56472 69504 69582 75296 92776 112944 139164 150592 150761 185552 225888 278328 301184 301522 371104 451776 452283 556656 603044 742208 903552 904566 1113312 1206088 1484416 1809132 2099057 2226624 2412176 3618264 4198114 4453248 4824352 6297171 7236528 8396228 9648704 12594342 14473056 16792456 19297408 25188684 27287741 28946112 33584912 50377368 54575482 57892224 67169824 81863223 100754736 109150964 134339648 163726446 201509472 218301928 268679296 327452892 403018944 436603856 654905784 806037888 873207712 1309811568 1746415424 2619623136 3492830848 5239246272 10478492544