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329999999952 = 24378911035313
BaseRepresentation
bin1001100110101011000…
…10000110001111010000
31011112210021012221001110
410303111202012033100
520401314444444302
6411333325133320
732561464501140
oct4632542061720
91145707187043
10329999999952
11117a52440297
1253b583ba240
13251711c397c
1411d8758a920
1588b62d7b6c
hex4cd58863d0

329999999952 has 80 divisors (see below), whose sum is σ = 985232833920. Its totient is φ = 93226315776.

The previous prime is 329999999827. The next prime is 329999999957. The reversal of 329999999952 is 259999999923.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329999999957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5487753 + ... + 5547560.

It is an arithmetic number, because the mean of its divisors is an integer number (12315410424).

Almost surely, 2329999999952 is an apocalyptic number.

It is an amenable number.

329999999952 is an abundant number, since it is smaller than the sum of its proper divisors (655232833968).

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

329999999952 is a wasteful number, since it uses less digits than its factorization.

329999999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035420 (or 11035414 counting only the distinct ones).

The product of its digits is 2582803260, while the sum is 84.

The spelling of 329999999952 in words is "three hundred twenty-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 1068 1246 1424 1869 2136 2492 3738 4272 4984 7476 9968 14952 29904 11035313 22070626 33105939 44141252 66211878 77247191 88282504 132423756 154494382 176565008 231741573 264847512 308988764 463483146 529695024 617977528 926966292 982142857 1235955056 1853932584 1964285714 2946428571 3707865168 3928571428 5892857142 6874999999 7857142856 11785714284 13749999998 15714285712 20624999997 23571428568 27499999996 41249999994 47142857136 54999999992 82499999988 109999999984 164999999976 329999999952