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1553110164 = 2232893791279
BaseRepresentation
bin101110010010010…
…1001010010010100
311000020110011121200
41130210221102110
511140044011124
6414040312500
753326134654
oct13444512224
94006404550
101553110164
11727765721
12374172730
131b99c91c8
1410a3aa364
159153abc9
hex5c929494

1553110164 has 72 divisors (see below), whose sum is σ = 3983616000. Its totient is φ = 510136704.

The previous prime is 1553110127. The next prime is 1553110171. The reversal of 1553110164 is 4610113551.

1553110164 is a `hidden beast` number, since 1 + 553 + 1 + 101 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213677 + ... + 1214955.

It is an arithmetic number, because the mean of its divisors is an integer number (55328000).

Almost surely, 21553110164 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 1553110164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991808000).

1553110164 is an abundant number, since it is smaller than the sum of its proper divisors (2430505836).

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

1553110164 is a wasteful number, since it uses less digits than its factorization.

1553110164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1553110164 is about 39409.5186978984. The cubic root of 1553110164 is about 1158.0680694145.

The spelling of 1553110164 in words is "one billion, five hundred fifty-three million, one hundred ten thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 379 534 758 801 1068 1137 1279 1516 1602 2274 2558 3204 3411 3837 4548 5116 6822 7674 11511 13644 15348 23022 33731 46044 67462 101193 113831 134924 202386 227662 303579 341493 404772 455324 484741 607158 682986 969482 1024479 1214316 1365972 1454223 1938964 2048958 2908446 4097916 4362669 5816892 8725338 17450676 43141949 86283898 129425847 172567796 258851694 388277541 517703388 776555082 1553110164