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328474189888 = 261312713722691
BaseRepresentation
bin1001100011110101001…
…01100110000001000000
31011101211221010202010121
410301322211212001000
520340203343034023
6410522101510024
732505616355245
oct4617245460100
91141757122117
10328474189888
1111733a131639
12537b1412314
1324c8a065890
1411c80a895cc
158827390d5d
hex4c7a966040

328474189888 has 112 divisors (see below), whose sum is σ = 712678385664. Its totient is φ = 149305282560.

The previous prime is 328474189871. The next prime is 328474189903. The reversal of 328474189888 is 888981474823.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464623 + ... + 14487313.

It is an arithmetic number, because the mean of its divisors is an integer number (6363199872).

Almost surely, 2328474189888 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 328474189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356339192832).

328474189888 is an abundant number, since it is smaller than the sum of its proper divisors (384204195776).

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

328474189888 is a wasteful number, since it uses less digits than its factorization.

328474189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22980 (or 22970 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 70.

The spelling of 328474189888 in words is "three hundred twenty-eight billion, four hundred seventy-four million, one hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 137 208 254 274 416 508 548 832 1016 1096 1651 1781 2032 2192 3302 3562 4064 4384 6604 7124 8128 8768 13208 14248 17399 22691 26416 28496 34798 45382 52832 56992 69596 90764 105664 113984 139192 181528 226187 278384 294983 363056 452374 556768 589966 726112 904748 1113536 1179932 1452224 1809496 2359864 2881757 3108667 3618992 4719728 5763514 6217334 7237984 9439456 11527028 12434668 14475968 18878912 23054056 24869336 37462841 40412671 46108112 49738672 74925682 80825342 92216224 99477344 149851364 161650684 184432448 198954688 299702728 323301368 394800709 599405456 646602736 789601418 1198810912 1293205472 1579202836 2397621824 2586410944 3158405672 5132409217 6316811344 10264818434 12633622688 20529636868 25267245376 41059273736 82118547472 164237094944 328474189888