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11157053136 = 2434320532633
BaseRepresentation
bin10100110010000001…
…10001111011010000
31001210112222000122020
422121000301323100
5140322201200021
65043034211440
7543324246465
oct123100617320
931715860566
1011157053136
114805958179
1221b4583b80
13108a6259b8
1477bab366c
154547637c6
hex299031ed0

11157053136 has 80 divisors (see below), whose sum is σ = 29518247616. Its totient is φ = 3629380608.

The previous prime is 11157053113. The next prime is 11157053147. The reversal of 11157053136 is 63135075111.

It is a junction number, because it is equal to n+sod(n) for n = 11157053097 and 11157053106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4236076 + ... + 4238708.

Almost surely, 211157053136 is an apocalyptic number.

11157053136 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 11157053136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759123808).

11157053136 is an abundant number, since it is smaller than the sum of its proper divisors (18361194480).

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

11157053136 is a wasteful number, since it uses less digits than its factorization.

11157053136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 11157053136 in words is "eleven billion, one hundred fifty-seven million, fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2053 2064 2633 4106 5266 6159 7899 8212 10532 12318 15798 16424 21064 24636 31596 32848 42128 49272 63192 88279 98544 113219 126384 176558 226438 264837 339657 353116 452876 529674 679314 706232 905752 1059348 1358628 1412464 1811504 2118696 2717256 4237392 5405549 5434512 10811098 16216647 21622196 32433294 43244392 64866588 86488784 129733176 232438607 259466352 464877214 697315821 929754428 1394631642 1859508856 2789263284 3719017712 5578526568 11157053136