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31462243164 = 223211337431547
BaseRepresentation
bin11101010011010010…
…111011101101011100
310000012122202112220100
4131103102323231130
51003413313240124
622241545021100
72162443440312
oct352322735534
9100178675810
1031462243164
1112385685a60
126120784790
132c752c7841
1417467200b2
15c421b61c9
hex7534bbb5c

31462243164 has 144 divisors (see below), whose sum is σ = 87378310656. Its totient is φ = 9466329600.

The previous prime is 31462243157. The next prime is 31462243177. The reversal of 31462243164 is 46134226413.

31462243164 is a `hidden beast` number, since 3 + 14 + 622 + 4 + 3 + 16 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57517539 + ... + 57518085.

It is an arithmetic number, because the mean of its divisors is an integer number (606793824).

Almost surely, 231462243164 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 31462243164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43689155328).

31462243164 is an abundant number, since it is smaller than the sum of its proper divisors (55916067492).

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

31462243164 is a wasteful number, since it uses less digits than its factorization.

31462243164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1331 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 31462243164 its reverse (46134226413), we get a palindrome (77596469577).

The spelling of 31462243164 in words is "thirty-one billion, four hundred sixty-two million, two hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 337 396 431 547 674 862 1011 1094 1293 1348 1641 1724 2022 2188 2586 3033 3282 3707 3879 4044 4741 4923 5172 6017 6066 6564 7414 7758 9482 9846 11121 12034 12132 14223 14828 15516 18051 18964 19692 22242 24068 28446 33363 36102 42669 44484 54153 56892 66726 72204 85338 108306 133452 145247 170676 184339 216612 235757 290494 368678 435741 471514 553017 580988 707271 737356 871482 943028 1106034 1307223 1414542 1597717 1659051 1742964 2027729 2121813 2212068 2593327 2614446 2829084 3195434 3318102 4055458 4243626 4793151 5186654 5228892 6083187 6390868 6636204 7779981 8110916 8487252 9586302 10373308 12166374 14379453 15559962 18249561 19172604 23339943 24332748 28758906 31119924 36499122 46679886 57517812 72998244 79450109 93359772 158900218 238350327 317800436 476700654 715050981 873951199 953401308 1430101962 1747902398 2621853597 2860203924 3495804796 5243707194 7865560791 10487414388 15731121582 31462243164