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3891677551872 = 283112831627783
BaseRepresentation
bin111000101000011010000…
…011101101110100000000
3111210001002200220012002220
4320220122003231310000
51002230123423124442
612135451220011040
7551110253251335
oct70503203556400
914701080805086
103891677551872
1112704a6582070
1252a296b30a80
13222ca3018596
14d6502c7a98c
156b3712ceeec
hex38a1a0edd00

3891677551872 has 144 divisors (see below), whose sum is σ = 11339065210368. Its totient is φ = 1175128381440.

The previous prime is 3891677551781. The next prime is 3891677551873. The reversal of 3891677551872 is 2781557761983.

It is a junction number, because it is equal to n+sod(n) for n = 3891677551797 and 3891677551806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3891677551873) 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, 1576893 + ... + 3204675.

Almost surely, 23891677551872 is an apocalyptic number.

3891677551872 is a gapful number since it is divisible by the number (32) 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 3891677551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669532605184).

3891677551872 is an abundant number, since it is smaller than the sum of its proper divisors (7447387658496).

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

3891677551872 is a wasteful number, since it uses less digits than its factorization.

3891677551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628096 (or 1628082 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 69.

The spelling of 3891677551872 in words is "three trillion, eight hundred ninety-one billion, six hundred seventy-seven million, five hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 283 352 384 528 566 704 768 849 1056 1132 1408 1698 2112 2264 2816 3113 3396 4224 4528 6226 6792 8448 9056 9339 12452 13584 18112 18678 24904 27168 36224 37356 49808 54336 72448 74712 99616 108672 149424 199232 217344 298848 398464 597696 796928 1195392 1627783 2390784 3255566 4883349 6511132 9766698 13022264 17905613 19533396 26044528 35811226 39066792 52089056 53716839 71622452 78133584 104178112 107433678 143244904 156267168 208356224 214867356 286489808 312534336 416712448 429734712 460662589 572979616 625068672 859469424 921325178 1145959232 1250137344 1381987767 1718938848 1842650356 2291918464 2763975534 3437877696 3685300712 4583836928 5067288479 5527951068 6875755392 7370601424 10134576958 11055902136 13751510784 14741202848 15201865437 20269153916 22111804272 29482405696 30403730874 40538307832 44223608544 58964811392 60807461748 81076615664 88447217088 117929622784 121614923496 162153231328 176894434176 243229846992 324306462656 353788868352 486459693984 648612925312 972919387968 1297225850624 1945838775936 3891677551872