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4012033640 = 2353117331867
BaseRepresentation
bin1110111100100010…
…1100011001101000
3101100121100102111112
43233020230121220
531204040034030
61502035445452
7201264503036
oct35710543150
911317312445
104012033640
11177976328a
1293b756888
134bc275b04
142a0ba7556
15187350a95
hexef22c668

4012033640 has 64 divisors (see below), whose sum is σ = 9328642560. Its totient is φ = 1551317760.

The previous prime is 4012033631. The next prime is 4012033657. The reversal of 4012033640 is 463302104.

It is a happy number.

4012033640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2147987 + ... + 2149853.

It is an arithmetic number, because the mean of its divisors is an integer number (145760040).

Almost surely, 24012033640 is an apocalyptic number.

4012033640 is a gapful number since it is divisible by the number (40) 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 4012033640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664321280).

4012033640 is an abundant number, since it is smaller than the sum of its proper divisors (5316608920).

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

4012033640 is a wasteful number, since it uses less digits than its factorization.

4012033640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4012033640 is about 63340.6160374210. The cubic root of 4012033640 is about 1588.9913093835.

Adding to 4012033640 its reverse (463302104), we get a palindrome (4475335744).

The spelling of 4012033640 in words is "four billion, twelve million, thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1733 1867 3466 3734 6932 7468 8665 9335 13864 14936 17330 18670 34660 37340 53723 57877 69320 74680 107446 115754 214892 231508 268615 289385 429784 463016 537230 578770 1074460 1157540 2148920 2315080 3235511 6471022 12942044 16177555 25884088 32355110 64710220 100300841 129420440 200601682 401203364 501504205 802406728 1003008410 2006016820 4012033640