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8992080640 = 285174110079
BaseRepresentation
bin10000101111111100…
…00100001100000000
3212012200012000200201
420113332010030000
5121403433040030
64044135254544
7435555265354
oct102776041400
925180160621
108992080640
1138a4882304
1218ab51a454
13b03c3979a
14614353464
153796652ca
hex217f84300

8992080640 has 144 divisors (see below), whose sum is σ = 23364391680. Its totient is φ = 3302359040.

The previous prime is 8992080637. The next prime is 8992080641. The reversal of 8992080640 is 460802998.

It is not an unprimeable number, because it can be changed into a prime (8992080641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 887121 + ... + 897199.

It is an arithmetic number, because the mean of its divisors is an integer number (162252720).

Almost surely, 28992080640 is an apocalyptic number.

8992080640 is a gapful number since it is divisible by the number (80) 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 8992080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682195840).

8992080640 is an abundant number, since it is smaller than the sum of its proper divisors (14372311040).

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

8992080640 is a wasteful number, since it uses less digits than its factorization.

8992080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 8992080640 is about 94826.5819272212. The cubic root of 8992080640 is about 2079.4735353979.

The spelling of 8992080640 in words is "eight billion, nine hundred ninety-two million, eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 128 136 160 164 170 205 256 272 320 328 340 410 544 640 656 680 697 820 1088 1280 1312 1360 1394 1640 2176 2624 2720 2788 3280 3485 4352 5248 5440 5576 6560 6970 10079 10496 10880 11152 13120 13940 20158 21760 22304 26240 27880 40316 44608 50395 52480 55760 80632 89216 100790 111520 161264 171343 178432 201580 223040 322528 342686 403160 413239 446080 645056 685372 806320 826478 856715 892160 1290112 1370744 1612640 1652956 1713430 2066195 2580224 2741488 3225280 3305912 3426860 4132390 5482976 6450560 6611824 6853720 7025063 8264780 10965952 12901120 13223648 13707440 14050126 16529560 21931904 26447296 27414880 28100252 33059120 35125315 43863808 52894592 54829760 56200504 66118240 70250630 105789184 109659520 112401008 132236480 140501260 219319040 224802016 264472960 281002520 449604032 528945920 562005040 899208064 1124010080 1798416128 2248020160 4496040320 8992080640