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4072737144 = 233723245827
BaseRepresentation
bin1111001011000001…
…0000100101111000
3101111211120111001110
43302300100211320
531320110042034
61512044520320
7202632460140
oct36260204570
911454514043
104072737144
1117aaa54773
12957b500a0
134cba0b048
142a8c89920
1518c841de9
hexf2c10978

4072737144 has 96 divisors (see below), whose sum is σ = 12164584320. Its totient is φ = 1113021888.

The previous prime is 4072737139. The next prime is 4072737161. The reversal of 4072737144 is 4417372704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65959 + ... + 111785.

It is an arithmetic number, because the mean of its divisors is an integer number (126714420).

Almost surely, 24072737144 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 4072737144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082292160).

4072737144 is an abundant number, since it is smaller than the sum of its proper divisors (8091847176).

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

4072737144 is a wasteful number, since it uses less digits than its factorization.

4072737144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45889 (or 45862 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 4072737144 is about 63818.0001566956. Note that the first 3 decimals coincide. The cubic root of 4072737144 is about 1596.9652297870.

The spelling of 4072737144 in words is "four billion, seventy-two million, seven hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 529 552 644 966 1058 1288 1587 1932 2116 3174 3703 3864 4232 6348 7406 11109 12696 14812 22218 29624 44436 45827 88872 91654 137481 183308 274962 320789 366616 549924 641578 962367 1054021 1099848 1283156 1924734 2108042 2566312 3162063 3849468 4216084 6324126 7378147 7698936 8432168 12648252 14756294 22134441 24242483 25296504 29512588 44268882 48484966 59025176 72727449 88537764 96969932 145454898 169697381 177075528 193939864 290909796 339394762 509092143 581819592 678789524 1018184286 1357579048 2036368572 4072737144