Search a number
-
+
11600617420 = 2257179475147
BaseRepresentation
bin10101100110111001…
…10101111111001100
31002221110121102110001
422303130311333030
5142224224224140
65155041254044
7560321423020
oct126334657714
932843542401
1011600617420
114a13278627
1222b9034324
13112b4ab282
147c0978380
1547d67ee9a
hex2b3735fcc

11600617420 has 96 divisors (see below), whose sum is σ = 29516078592. Its totient is φ = 3738713088.

The previous prime is 11600617411. The next prime is 11600617453. The reversal of 11600617420 is 2471600611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2251287 + ... + 2256433.

It is an arithmetic number, because the mean of its divisors is an integer number (307459152).

Almost surely, 211600617420 is an apocalyptic number.

11600617420 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 11600617420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758039296).

11600617420 is an abundant number, since it is smaller than the sum of its proper divisors (17915461172).

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

11600617420 is a wasteful number, since it uses less digits than its factorization.

11600617420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 11600617420 in words is "eleven billion, six hundred million, six hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 947 1190 1894 2380 3788 4735 5147 6629 9470 10294 13258 16099 18940 20588 25735 26516 32198 33145 36029 51470 64396 66290 72058 80495 87499 102940 112693 132580 144116 160990 174998 180145 225386 321980 349996 360290 437495 450772 563465 612493 720580 874990 1126930 1224986 1749980 2253860 2449972 3062465 4874209 6124930 9748418 12249860 19496836 24371045 34119463 48742090 68238926 82861553 97484180 136477852 165723106 170597315 331446212 341194630 414307765 580030871 682389260 828615530 1160061742 1657231060 2320123484 2900154355 5800308710 11600617420