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11199121648 = 2411132478011
BaseRepresentation
bin10100110111000010…
…10000100011110000
31001220111010022210021
422123201100203300
5140413433343043
65051140013224
7544344651301
oct123341204360
931814108707
1011199121648
114827680940
122206691214
131096264c00
147835047a8
154582c33ed
hex29b8508f0

11199121648 has 120 divisors (see below), whose sum is σ = 26180395776. Its totient is φ = 4598380800.

The previous prime is 11199121643. The next prime is 11199121649. The reversal of 11199121648 is 84612199111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11199121643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393963 + ... + 1401973.

Almost surely, 211199121648 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 11199121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090197888).

11199121648 is an abundant number, since it is smaller than the sum of its proper divisors (14981274128).

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

11199121648 is a wasteful number, since it uses less digits than its factorization.

11199121648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8103 (or 8084 counting only the distinct ones).

The product of its digits is 31104, while the sum is 43.

The spelling of 11199121648 in words is "eleven billion, one hundred ninety-nine million, one hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 143 169 176 188 208 286 338 376 517 572 611 676 752 1034 1144 1222 1352 1859 2068 2288 2444 2704 3718 4136 4888 6721 7436 7943 8011 8272 9776 13442 14872 15886 16022 26884 29744 31772 32044 53768 63544 64088 87373 88121 104143 107536 127088 128176 174746 176242 208286 349492 352484 376517 416572 698984 704968 753034 833144 1145573 1353859 1397968 1409936 1506068 1666288 2291146 2707718 3012136 4141687 4582292 4894721 5415436 6024272 8283374 9164584 9789442 10830872 14892449 16566748 18329168 19578884 21661744 29784898 33133496 39157768 53841931 59569796 63631373 66266992 78315536 107683862 119139592 127262746 215367724 238279184 254525492 430735448 509050984 699945103 861470896 1018101968 1399890206 2799780412 5599560824 11199121648