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5611123760 = 2451115142227
BaseRepresentation
bin1010011100111001…
…01111010000110000
3112111001022121202112
411032130233100300
542442421430020
62324441504452
7256022523254
oct51634572060
915431277675
105611123760
11241a373370
1211071a2128
136b5650698
143b3302264
1522c9202c5
hex14e72f430

5611123760 has 80 divisors (see below), whose sum is σ = 14326440192. Its totient is φ = 2026848000.

The previous prime is 5611123759. The next prime is 5611123829. The reversal of 5611123760 is 673211165.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111767 + ... + 153993.

Almost surely, 25611123760 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 5611123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163220096).

5611123760 is an abundant number, since it is smaller than the sum of its proper divisors (8715316432).

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

5611123760 is a wasteful number, since it uses less digits than its factorization.

5611123760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42402 (or 42396 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 5611123760 is about 74907.4346109917. The cubic root of 5611123760 is about 1776.9830390202.

The spelling of 5611123760 in words is "five billion, six hundred eleven million, one hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 2416 3020 3322 6040 6644 8305 12080 13288 16610 26576 33220 42227 66440 84454 132880 168908 211135 337816 422270 464497 675632 844540 928994 1689080 1857988 2322485 3378160 3715976 4644970 6376277 7431952 9289940 12752554 18579880 25505108 31881385 37159760 51010216 63762770 70139047 102020432 127525540 140278094 255051080 280556188 350695235 510102160 561112376 701390470 1122224752 1402780940 2805561880 5611123760