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11522834432 = 2155932
BaseRepresentation
bin10101011101101000…
…01000000000000000
31002202001020122020122
422232310020000000
5142044321200212
65143222155412
7555355322324
oct125664100000
932661218218
1011522834432
11498338106a
122296b82b68
131118346035
147b44cb984
15476918272
hex2aed08000

11522834432 has 48 divisors (see below), whose sum is σ = 23084245005. Its totient is φ = 5751701504.

The previous prime is 11522834359. The next prime is 11522834443. The reversal of 11522834432 is 23443822511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11368677376 + 154157056 = 106624^2 + 12416^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=75904.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11522834392 and 11522834401.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19431128 + ... + 19431720.

Almost surely, 211522834432 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 11522834432

11522834432 is an abundant number, since it is smaller than the sum of its proper divisors (11561410573).

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

11522834432 is an frugal number, since it uses more digits than its factorization.

11522834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 595 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The spelling of 11522834432 in words is "eleven billion, five hundred twenty-two million, eight hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 593 1024 1186 2048 2372 4096 4744 8192 9488 16384 18976 32768 37952 75904 151808 303616 351649 607232 703298 1214464 1406596 2428928 2813192 4857856 5626384 9715712 11252768 19431424 22505536 45011072 90022144 180044288 360088576 720177152 1440354304 2880708608 5761417216 11522834432