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11051896384 = 261727732
BaseRepresentation
bin10100100101011111…
…01000111001000000
31001112020002111200201
422102233220321000
5140113241141014
65024400254544
7540606366154
oct122257507100
931466074621
1011051896384
114761564371
122185311454
1310718c7c79
1476bb3d064
1544a3e0e74
hex292be8e40

11051896384 has 63 divisors (see below), whose sum is σ = 23327235667. Its totient is φ = 5194164224.

The previous prime is 11051896321. The next prime is 11051896399. The reversal of 11051896384 is 48369815011.

The square root of 11051896384 is 105128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 598878784 + 10453017600 = 24472^2 + 102240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14297022 + ... + 14297794.

Almost surely, 211051896384 is an apocalyptic number.

11051896384 is the 105128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11051896384

11051896384 is an abundant number, since it is smaller than the sum of its proper divisors (12275339283).

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

11051896384 is an frugal number, since it uses more digits than its factorization.

11051896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 11051896384 in words is "eleven billion, fifty-one million, eight hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 773 1088 1156 1546 2312 3092 4624 6184 9248 12368 13141 18496 24736 26282 49472 52564 105128 210256 223397 420512 446794 597529 841024 893588 1195058 1787176 2390116 3574352 4780232 7148704 9560464 10157993 14297408 19120928 20315986 38241856 40631972 81263944 162527888 172685881 325055776 345371762 650111552 690743524 1381487048 2762974096 5525948192 11051896384