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16428032964 = 223278329463
BaseRepresentation
bin11110100110010111…
…11110001111000100
31120101220020112122100
433103023332033010
5232121034023324
611314045432100
71121046655560
oct172313761704
946356215570
1016428032964
116a70218352
12322586b630
13171a661385
14b1bb526a0
156623954c9
hex3d32fe3c4

16428032964 has 108 divisors (see below), whose sum is σ = 48042519616. Its totient is φ = 4636682784.

The previous prime is 16428032963. The next prime is 16428032981. The reversal of 16428032964 is 46923082461.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16428032963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1731297 + ... + 1740759.

Almost surely, 216428032964 is an apocalyptic number.

16428032964 is a gapful number since it is divisible by the number (14) 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 16428032964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021259808).

16428032964 is an abundant number, since it is smaller than the sum of its proper divisors (31614486652).

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

16428032964 is a wasteful number, since it uses less digits than its factorization.

16428032964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9646 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16428032964 in words is "sixteen billion, four hundred twenty-eight million, thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6889 6972 9463 10458 13778 18926 20667 20916 27556 28389 37852 41334 48223 56778 62001 66241 82668 85167 96446 113556 124002 132482 144669 170334 192892 198723 248004 264964 289338 340668 397446 434007 578676 596169 785429 794892 868014 1192338 1570858 1736028 2356287 2384676 3141716 4712574 5498003 7068861 9425148 10996006 14137722 16494009 21992012 28275444 32988018 49482027 65190607 65976036 98964054 130381214 195571821 197928108 260762428 391143642 456334249 586715463 782287284 912668498 1173430926 1369002747 1825336996 2346861852 2738005494 4107008241 5476010988 8214016482 16428032964