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28951591104 = 263349134123
BaseRepresentation
bin11010111101101001…
…100011100011000000
32202201200112012202000
4122331221203203000
5433243101403404
621144501024000
72043306315102
oct327551434300
982650465660
1028951591104
11113074669a7
12573b9b5000
132965108ac7
1415890d9572
15b46a84339
hex6bda638c0

28951591104 has 112 divisors (see below), whose sum is σ = 85288160640. Its totient is φ = 9630593280.

The previous prime is 28951591103. The next prime is 28951591121. The reversal of 28951591104 is 40119515982.

28951591104 is a `hidden beast` number, since 2 + 8 + 9 + 51 + 591 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28951591104.

It is not an unprimeable number, because it can be changed into a prime (28951591103) 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, 831387 + ... + 865509.

Almost surely, 228951591104 is an apocalyptic number.

28951591104 is a gapful number since it is divisible by the number (24) 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 28951591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42644080320).

28951591104 is an abundant number, since it is smaller than the sum of its proper divisors (56336569536).

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

28951591104 is a wasteful number, since it uses less digits than its factorization.

28951591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34635 (or 34619 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 28951591104 in words is "twenty-eight billion, nine hundred fifty-one million, five hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 491 576 864 982 1473 1728 1964 2946 3928 4419 5892 7856 8838 11784 13257 15712 17676 23568 26514 31424 34123 35352 47136 53028 68246 70704 94272 102369 106056 136492 141408 204738 212112 272984 282816 307107 409476 424224 545968 614214 818952 848448 921321 1091936 1228428 1637904 1842642 2183872 2456856 3275808 3685284 4913712 6551616 7370568 9827424 14741136 16754393 19654848 29482272 33508786 50263179 58964544 67017572 100526358 134035144 150789537 201052716 268070288 301579074 402105432 452368611 536140576 603158148 804210864 904737222 1072281152 1206316296 1608421728 1809474444 2412632592 3216843456 3618948888 4825265184 7237897776 9650530368 14475795552 28951591104