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69828233328 = 2433783278209
BaseRepresentation
bin100000100001000010…
…1100100100001110000
320200020110010210022000
41001002011210201300
52121002011431303
652024553214000
75021260122120
oct1010205444160
9220213123260
1069828233328
1127683243247
1211649401300
13677a997179
143545ca2c80
151c3a4d1da3
hex1042164870

69828233328 has 160 divisors (see below), whose sum is σ = 231826828800. Its totient is φ = 19710480384.

The previous prime is 69828233311. The next prime is 69828233351. The reversal of 69828233328 is 82333282896.

69828233328 is a `hidden beast` number, since 6 + 9 + 8 + 282 + 33 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111888 + ... + 390096.

It is an arithmetic number, because the mean of its divisors is an integer number (1448917680).

Almost surely, 269828233328 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 69828233328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115913414400).

69828233328 is an abundant number, since it is smaller than the sum of its proper divisors (161998595472).

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

69828233328 is a wasteful number, since it uses less digits than its factorization.

69828233328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278316 (or 278304 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 69828233328 in words is "sixty-nine billion, eight hundred twenty-eight million, two hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 664 747 756 996 1008 1162 1328 1494 1512 1743 1992 2241 2324 2988 3024 3486 3984 4482 4648 5229 5976 6972 8964 9296 10458 11952 13944 15687 17928 20916 27888 31374 35856 41832 62748 83664 125496 250992 278209 556418 834627 1112836 1669254 1947463 2225672 2503881 3338508 3894926 4451344 5007762 5842389 6677016 7511643 7789852 10015524 11684778 13354032 15023286 15579704 17527167 20031048 23091347 23369556 30046572 31159408 35054334 40062096 46182694 46739112 52581501 60093144 69274041 70108668 92365388 93478224 105163002 120186288 138548082 140217336 161639429 184730776 207822123 210326004 277096164 280434672 323278858 369461552 415644246 420652008 484918287 554192328 623466369 646557716 831288492 841304016 969836574 1108384656 1246932738 1293115432 1454754861 1662576984 1939673148 2493865476 2586230864 2909509722 3325153968 3879346296 4364264583 4987730952 5819019444 7758692592 8728529166 9975461904 11638038888 17457058332 23276077776 34914116664 69828233328