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31433153312 = 2511474214513
BaseRepresentation
bin11101010001100011…
…111101101100100000
310000010122000122010102
4131101203331230200
51003333341401222
622235025321532
72161641252251
oct352143755440
9100118018112
1031433153312
1112370217360
126112a962a8
132c6c280c02
14174290ab28
15c3e86bd92
hex7518fdb20

31433153312 has 96 divisors (see below), whose sum is σ = 69125301504. Its totient is φ = 13947494400.

The previous prime is 31433153309. The next prime is 31433153317. The reversal of 31433153312 is 21335133413.

It is not an unprimeable number, because it can be changed into a prime (31433153317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6962768 + ... + 6967280.

It is an arithmetic number, because the mean of its divisors is an integer number (720055224).

Almost surely, 231433153312 is an apocalyptic number.

31433153312 is a gapful number since it is divisible by the number (32) 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 31433153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34562650752).

31433153312 is an abundant number, since it is smaller than the sum of its proper divisors (37692148192).

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

31433153312 is a wasteful number, since it uses less digits than its factorization.

31433153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its digits is 9720, while the sum is 29.

Adding to 31433153312 its reverse (21335133413), we get a palindrome (52768286725).

The spelling of 31433153312 in words is "thirty-one billion, four hundred thirty-three million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 421 517 752 842 1034 1504 1684 2068 3368 4136 4513 4631 6736 8272 9026 9262 13472 16544 18052 18524 19787 36104 37048 39574 49643 72208 74096 79148 99286 144416 148192 158296 198572 212111 217657 316592 397144 424222 435314 633184 794288 848444 870628 1588576 1696888 1741256 1899973 2333221 3393776 3482512 3799946 4666442 6787552 6965024 7599892 9332884 15199784 18665768 20899703 30399568 37331536 41799406 60799136 74663072 83598812 89298731 167197624 178597462 334395248 357194924 668790496 714389848 982286041 1428779696 1964572082 2857559392 3929144164 7858288328 15716576656 31433153312