Search a number
-
+
1135455051630 = 2352934918672003
BaseRepresentation
bin10000100001011110011…
…001010001111101101110
311000112210211000000011010
4100201132121101331232
5122100402443123010
62225342034210050
7145014430460004
oct20413631217556
94015724000133
101135455051630
113a85a8859059
12164085723926
13830c4377073
143cd561c8a74
151e80846b620
hex1085e651f6e

1135455051630 has 128 divisors (see below), whose sum is σ = 2830064832000. Its totient is φ = 291207780864.

The previous prime is 1135455051623. The next prime is 1135455051631. The reversal of 1135455051630 is 361505545311.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135455051631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566876209 + ... + 566878211.

It is an arithmetic number, because the mean of its divisors is an integer number (22109881500).

Almost surely, 21135455051630 is an apocalyptic number.

1135455051630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135455051630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415032416000).

1135455051630 is an abundant number, since it is smaller than the sum of its proper divisors (1694609780370).

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

1135455051630 is a wasteful number, since it uses less digits than its factorization.

1135455051630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258.

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 1135455051630 in words is "one trillion, one hundred thirty-five billion, four hundred fifty-five million, fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 349 435 698 870 1047 1745 1867 2003 2094 3490 3734 4006 5235 5601 6009 9335 10015 10121 10470 11202 12018 18670 20030 20242 28005 30045 30363 50605 54143 56010 58087 60090 60726 101210 108286 116174 151815 162429 174261 270715 290435 303630 324858 348522 541430 580870 651583 699047 812145 871305 1303166 1398094 1624290 1742610 1954749 2097141 3257915 3495235 3739601 3909498 4194282 6515830 6990470 7479202 9773745 10485705 11218803 18698005 18895907 19547490 20272363 20971410 22437606 37396010 37791814 40544726 56094015 56687721 60817089 94479535 101361815 108448429 112188030 113375442 121634178 188959070 202723630 216896858 283438605 304085445 325345287 542242145 566877210 608170890 650690574 1084484290 1305120749 1626726435 2610241498 3253452870 3915362247 6525603745 7830724494 13051207490 19576811235 37848501721 39153622470 75697003442 113545505163 189242508605 227091010326 378485017210 567727525815 1135455051630