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2987117892 = 2233113767957
BaseRepresentation
bin1011001000001011…
…1100110101000100
321201011210022102000
42302002330311010
522104200233032
61212224145300
7134011040343
oct26202746504
97634708360
102987117892
1112a3171980
126b4468230
13387b23ba5
14204a11b5a
1512739be7c
hexb20bcd44

2987117892 has 96 divisors (see below), whose sum is σ = 8676877440. Its totient is φ = 880709760.

The previous prime is 2987117869. The next prime is 2987117897.

2987117892 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2987117897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9978 + ... + 77934.

It is an arithmetic number, because the mean of its divisors is an integer number (90384140).

Almost surely, 22987117892 is an apocalyptic number.

2987117892 is a gapful number since it is divisible by the number (22) 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 2987117892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338438720).

2987117892 is an abundant number, since it is smaller than the sum of its proper divisors (5689759548).

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

2987117892 is a wasteful number, since it uses less digits than its factorization.

2987117892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68018 (or 68010 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 54.

The square root of 2987117892 is about 54654.5322182891. The cubic root of 2987117892 is about 1440.1822512383.

It can be divided in two parts, 298711 and 7892, that added together give a palindrome (306603).

The spelling of 2987117892 in words is "two billion, nine hundred eighty-seven million, one hundred seventeen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3663 3996 4884 7326 10989 14652 21978 43956 67957 135914 203871 271828 407742 611613 747527 815484 1223226 1495054 1834839 2242581 2446452 2514409 2990108 3669678 4485162 5028818 6727743 7339356 7543227 8970324 10057636 13455486 15086454 20183229 22629681 26910972 27658499 30172908 40366458 45259362 55316998 67889043 80732916 82975497 90518724 110633996 135778086 165950994 248926491 271556172 331901988 497852982 746779473 995705964 1493558946 2987117892