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11377928736 = 253854193
BaseRepresentation
bin10101001100010110…
…10110101000100000
31002100221120200000000
422212023112220200
5141300222204421
65121004300000
7551645540616
oct124613265040
932327520000
1011377928736
1149095a9299
122256541600
1310c430bb15
1479d16b6b6
15468d43226
hex2a62d6a20

11377928736 has 108 divisors (see below), whose sum is σ = 33599358702. Its totient is φ = 3792572928.

The previous prime is 11377928689. The next prime is 11377928741. The reversal of 11377928736 is 63782977311.

It can be written as a sum of positive squares in only one way, i.e., 7938810000 + 3439118736 = 89100^2 + 58644^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 182856 + ... + 237048.

Almost surely, 211377928736 is an apocalyptic number.

11377928736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11377928736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799679351).

11377928736 is an abundant number, since it is smaller than the sum of its proper divisors (22221429966).

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

11377928736 is an frugal number, since it uses more digits than its factorization.

11377928736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54227 (or 54198 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 11377928736 in words is "eleven billion, three hundred seventy-seven million, nine hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 54193 69984 104976 108386 162579 209952 216772 325158 433544 487737 650316 867088 975474 1300632 1463211 1734176 1950948 2601264 2926422 3901896 4389633 5202528 5852844 7803792 8779266 11705688 13168899 15607584 17558532 23411376 26337798 35117064 39506697 46822752 52675596 70234128 79013394 105351192 118520091 140468256 158026788 210702384 237040182 316053576 355560273 421404768 474080364 632107152 711120546 948160728 1264214304 1422241092 1896321456 2844482184 3792642912 5688964368 11377928736