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31334744052 = 223617476151
BaseRepresentation
bin11101001011101100…
…100011111111110100
32222212202211221000000
4131023230203333310
51003133143302202
622221152151300
72156334633633
oct351354437764
988782757000
1031334744052
111231a711a97
1260a5b38530
132c54a76491
14173381151a
15c35dcd91c
hex74bb23ff4

31334744052 has 84 divisors (see below), whose sum is σ = 82276528096. Its totient is φ = 10437238800.

The previous prime is 31334744047. The next prime is 31334744053. The reversal of 31334744052 is 25044743313.

31334744052 is a `hidden beast` number, since 3 + 133 + 474 + 4 + 0 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31334743998 and 31334744016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31334744053) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5091177 + ... + 5097327.

Almost surely, 231334744052 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 31334744052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41138264048).

31334744052 is an abundant number, since it is smaller than the sum of its proper divisors (50941784044).

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

31334744052 is a wasteful number, since it uses less digits than its factorization.

31334744052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 31334744052 in words is "thirty-one billion, three hundred thirty-four million, seven hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1747 2916 3494 5241 6151 6988 10482 12302 15723 18453 20964 24604 31446 36906 47169 55359 62892 73812 94338 110718 141507 166077 188676 221436 283014 332154 424521 498231 566028 664308 849042 996462 1273563 1494693 1698084 1992924 2547126 2989386 4484079 5094252 5978772 8968158 10745797 17936316 21491594 32237391 42983188 64474782 96712173 128949564 193424346 290136519 386848692 580273038 870409557 1160546076 1740819114 2611228671 3481638228 5222457342 7833686013 10444914684 15667372026 31334744052