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1168893648 = 243213837523
BaseRepresentation
bin100010110101011…
…1110011011010000
310000110110221122100
41011222332123100
54343214044043
6311553240400
740652301126
oct10552763320
93013427570
101168893648
1154a8a010a
12287563100
13158222a60
14b1353916
156c943cd3
hex45abe6d0

1168893648 has 120 divisors (see below), whose sum is σ = 3565834272. Its totient is φ = 355279104.

The previous prime is 1168893647. The next prime is 1168893653. The reversal of 1168893648 is 8463988611.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1168893594 and 1168893603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168893643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151615 + ... + 159137.

Almost surely, 21168893648 is an apocalyptic number.

1168893648 is a gapful number since it is divisible by the number (18) 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 1168893648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782917136).

1168893648 is an abundant number, since it is smaller than the sum of its proper divisors (2396940624).

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

1168893648 is a wasteful number, since it uses less digits than its factorization.

1168893648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7624 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1168893648 is about 34189.0866798164. The cubic root of 1168893648 is about 1053.3960031434.

The spelling of 1168893648 in words is "one billion, one hundred sixty-eight million, eight hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 83 104 117 144 156 166 208 234 249 312 332 468 498 624 664 747 936 996 1079 1328 1494 1872 1992 2158 2988 3237 3984 4316 5976 6474 7523 8632 9711 11952 12948 15046 17264 19422 22569 25896 30092 38844 45138 51792 60184 67707 77688 90276 97799 120368 135414 155376 180552 195598 270828 293397 361104 391196 541656 586794 624409 782392 880191 1083312 1173588 1248818 1564784 1760382 1873227 2347176 2497636 3520764 3746454 4694352 4995272 5619681 7041528 7492908 8117317 9990544 11239362 14083056 14985816 16234634 22478724 24351951 29971632 32469268 44957448 48703902 64938536 73055853 89914896 97407804 129877072 146111706 194815608 292223412 389631216 584446824 1168893648