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31872234204 = 22327350923827
BaseRepresentation
bin11101101011101110…
…111011001011011100
310001021020020020212200
4131223232323023130
51010233242443304
622350352331500
72205552343416
oct355356731334
9101236206780
1031872234204
1112576055328
126215b43b90
13300c2268a5
141784d659b6
15c6819ee39
hex76bbbb2dc

31872234204 has 72 divisors (see below), whose sum is σ = 81833453520. Its totient is φ = 10457517312.

The previous prime is 31872234203. The next prime is 31872234217. The reversal of 31872234204 is 40243227813.

It is a happy number.

31872234204 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 223 + 420 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31872234203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1325739 + ... + 1349565.

Almost surely, 231872234204 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 31872234204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40916726760).

31872234204 is an abundant number, since it is smaller than the sum of its proper divisors (49961219316).

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

31872234204 is a wasteful number, since it uses less digits than its factorization.

31872234204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24419 (or 24414 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 31872234204 in words is "thirty-one billion, eight hundred seventy-two million, two hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 509 657 876 1018 1314 1527 2036 2628 3054 4581 6108 9162 18324 23827 37157 47654 71481 74314 95308 111471 142962 148628 214443 222942 285924 334413 428886 445884 668826 857772 1337652 1739371 3478742 5218113 6957484 10436226 12127943 15654339 20872452 24255886 31308678 36383829 48511772 62617356 72767658 109151487 145535316 218302974 436605948 885339839 1770679678 2656019517 3541359356 5312039034 7968058551 10624078068 15936117102 31872234204