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11601643780 = 2253740139097
BaseRepresentation
bin10101100111000001…
…10000100100000100
31002221112112120100101
422303200300210010
5142230010100110
65155115253444
7560333226226
oct126340604404
932845476311
1011601643780
114a13909761
1222b944a284
13112b77a49c
147c0b64416
1547d7d413a
hex2b3830904

11601643780 has 48 divisors (see below), whose sum is σ = 25084964016. Its totient is φ = 4503859200.

The previous prime is 11601643759. The next prime is 11601643783. The reversal of 11601643780 is 8734610611.

It can be written as a sum of positive squares in 8 ways, for example, as 2224820224 + 9376823556 = 47168^2 + 96834^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (11601643783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277192 + ... + 316288.

It is an arithmetic number, because the mean of its divisors is an integer number (522603417).

Almost surely, 211601643780 is an apocalyptic number.

11601643780 is a gapful number since it is divisible by the number (10) 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 11601643780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542482008).

11601643780 is an abundant number, since it is smaller than the sum of its proper divisors (13483320236).

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

11601643780 is a wasteful number, since it uses less digits than its factorization.

11601643780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39544 (or 39542 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 11601643780 in words is "eleven billion, six hundred one million, six hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 401 740 802 1604 2005 4010 8020 14837 29674 39097 59348 74185 78194 148370 156388 195485 296740 390970 781940 1446589 2893178 5786356 7232945 14465890 15677897 28931780 31355794 62711588 78389485 156778970 313557940 580082189 1160164378 2320328756 2900410945 5800821890 11601643780