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37834450116 = 223231011499109
BaseRepresentation
bin100011001111000110…
…111110010011000100
310121122202012012112020
4203033012332103010
51104441104400431
625214135323140
72506400343201
oct431706762304
9117582165466
1037834450116
11150556193a1
1273ba8204b0
13374c5235b8
141b8cb3aca8
15eb6822696
hex8cf1be4c4

37834450116 has 96 divisors (see below), whose sum is σ = 93665376000. Its totient is φ = 11862259200.

The previous prime is 37834450099. The next prime is 37834450127. The reversal of 37834450116 is 61105443873.

It is a happy number.

37834450116 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 31 ways as a sum of consecutive naturals, for example, 4148970 + ... + 4158078.

It is an arithmetic number, because the mean of its divisors is an integer number (975681000).

Almost surely, 237834450116 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 37834450116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46832688000).

37834450116 is an abundant number, since it is smaller than the sum of its proper divisors (55830925884).

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

37834450116 is a wasteful number, since it uses less digits than its factorization.

37834450116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9389 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 37834450116 its reverse (61105443873), we get a palindrome (98939893989).

The spelling of 37834450116 in words is "thirty-seven billion, eight hundred thirty-four million, four hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 101 138 149 202 276 298 303 404 447 596 606 894 1212 1788 2323 3427 4646 6854 6969 9109 9292 10281 13708 13938 15049 18218 20562 27327 27876 30098 36436 41124 45147 54654 60196 90294 109308 180588 209507 346127 419014 628521 692254 838028 920009 1038381 1257042 1357241 1384508 1840018 2076762 2514084 2714482 2760027 3680036 4071723 4153524 5428964 5520054 8143446 11040108 16286892 21160207 31216543 42320414 62433086 63480621 84640828 93649629 124866172 126961242 137081341 187299258 253922484 274162682 374598516 411244023 548325364 822488046 1644976092 3152870843 6305741686 9458612529 12611483372 18917225058 37834450116