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39835828816 = 24717313312039
BaseRepresentation
bin100101000110011001…
…101000001001010000
310210211020010202222021
4211012121220021100
51123040433010231
630144512021224
72610111646420
oct450631501120
9123736122867
1039835828816
1115992317883
127878b31814
1339ab061354
141cdc874480
1510823a8811
hex946668250

39835828816 has 160 divisors (see below), whose sum is σ = 96748093440. Its totient is φ = 15495321600.

The previous prime is 39835828787. The next prime is 39835828841. The reversal of 39835828816 is 61882853893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19535925 + ... + 19537963.

It is an arithmetic number, because the mean of its divisors is an integer number (604675584).

Almost surely, 239835828816 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 39835828816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48374046720).

39835828816 is an abundant number, since it is smaller than the sum of its proper divisors (56912264624).

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

39835828816 is a wasteful number, since it uses less digits than its factorization.

39835828816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 61.

The spelling of 39835828816 in words is "thirty-nine billion, eight hundred thirty-five million, eight hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 331 434 476 496 527 662 868 952 1054 1324 1736 1904 2039 2108 2317 2648 3472 3689 4078 4216 4634 5296 5627 7378 8156 8432 9268 10261 11254 14273 14756 16312 18536 20522 22508 28546 29512 32624 34663 37072 39389 41044 45016 57092 59024 63209 69326 71827 78778 82088 90032 114184 126418 138652 143654 157556 164176 174437 228368 242641 252836 277304 287308 315112 348874 442463 485282 505672 554608 574616 630224 674909 697748 884926 970564 1011344 1074553 1149232 1221059 1349818 1395496 1769852 1941128 2149106 2442118 2699636 2790992 3539704 3882256 4298212 4724363 4884236 5399272 7079408 7521871 8596424 9448726 9768472 10798544 11473453 15043742 17192848 18897452 19536944 20922179 22946906 30087484 37794904 41844358 45893812 60174968 75589808 80314171 83688716 91787624 120349936 146455253 160628342 167377432 183575248 292910506 321256684 334754864 355677043 585821012 642513368 711354086 1171642024 1285026736 1422708172 2343284048 2489739301 2845416344 4979478602 5690832688 9958957204 19917914408 39835828816