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11130396648 = 233731917079
BaseRepresentation
bin10100101110110110…
…00101111111101000
31001201200210201210220
422113123011333220
5140243340143043
65040243010040
7542551545000
oct122733057750
931650721726
1011130396648
1147a1900818
1221a7669920
131084c51827
14778335000
1545224a483
hex2976c5fe8

11130396648 has 128 divisors (see below), whose sum is σ = 32624640000. Its totient is φ = 3163016640.

The previous prime is 11130396623. The next prime is 11130396671. The reversal of 11130396648 is 84669303111.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1568773 + ... + 1575851.

It is an arithmetic number, because the mean of its divisors is an integer number (254880000).

Almost surely, 211130396648 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 11130396648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312320000).

11130396648 is an abundant number, since it is smaller than the sum of its proper divisors (21494243352).

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

11130396648 is a wasteful number, since it uses less digits than its factorization.

11130396648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

Adding to 11130396648 its reverse (84669303111), we get a palindrome (95799699759).

The spelling of 11130396648 in words is "eleven billion, one hundred thirty million, three hundred ninety-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 191 196 294 343 382 392 573 588 686 764 1029 1146 1176 1337 1372 1528 2058 2292 2674 2744 4011 4116 4584 5348 7079 8022 8232 9359 10696 14158 16044 18718 21237 28077 28316 32088 37436 42474 49553 56154 56632 65513 74872 84948 99106 112308 131026 148659 169896 196539 198212 224616 262052 297318 346871 393078 396424 524104 594636 693742 786156 1040613 1189272 1352089 1387484 1572312 2081226 2428097 2704178 2774968 4056267 4162452 4856194 5408356 7284291 8112534 8324904 9464623 9712388 10816712 14568582 16225068 18929246 19424776 28393869 29137164 32450136 37858492 56787738 58274328 66252361 75716984 113575476 132504722 198757083 227150952 265009444 397514166 463766527 530018888 795028332 927533054 1391299581 1590056664 1855066108 2782599162 3710132216 5565198324 11130396648