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1137770496 = 21633643
BaseRepresentation
bin100001111010001…
…0000000000000000
32221021220201201000
41003310100000000
54312232123441
6304522212000
740123614102
oct10364200000
92837821630
101137770496
115342728a5
12279054000
131519467a5
14ab171572
1569d472b6
hex43d10000

1137770496 has 136 divisors (see below), whose sum is σ = 3376388960. Its totient is φ = 378667008.

The previous prime is 1137770489. The next prime is 1137770519. The reversal of 1137770496 is 6940777311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769151 + ... + 1769793.

Almost surely, 21137770496 is an apocalyptic number.

1137770496 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 1137770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688194480).

1137770496 is an abundant number, since it is smaller than the sum of its proper divisors (2238618464).

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

1137770496 is an frugal number, since it uses more digits than its factorization.

1137770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1137770496 is about 33730.8537692125. The cubic root of 1137770496 is about 1043.9624771822.

The spelling of 1137770496 in words is "one billion, one hundred thirty-seven million, seven hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 643 768 864 1024 1152 1286 1536 1728 1929 2048 2304 2572 3072 3456 3858 4096 4608 5144 5787 6144 6912 7716 8192 9216 10288 11574 12288 13824 15432 16384 17361 18432 20576 23148 24576 27648 30864 32768 34722 36864 41152 46296 49152 55296 61728 65536 69444 73728 82304 92592 98304 110592 123456 138888 147456 164608 185184 196608 221184 246912 277776 294912 329216 370368 442368 493824 555552 589824 658432 740736 884736 987648 1111104 1316864 1481472 1769472 1975296 2222208 2633728 2962944 3950592 4444416 5267456 5925888 7901184 8888832 10534912 11851776 15802368 17777664 21069824 23703552 31604736 35555328 42139648 47407104 63209472 71110656 94814208 126418944 142221312 189628416 284442624 379256832 568885248 1137770496