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9993023451312 = 2431123534874113
BaseRepresentation
bin1001000101101010111010…
…0111001111000010110000
31022101022201222121212012020
42101122232213033002300
52302211203000420222
633130422005231440
72050654302560226
oct221325647170260
938338658555166
109993023451312
113203021247800
12115486b402580
135764519738c5
14267944758b16
15124e1c70c65c
hex916ae9cf0b0

9993023451312 has 120 divisors (see below), whose sum is σ = 28455896383152. Its totient is φ = 3019609866240.

The previous prime is 9993023451277. The next prime is 9993023451353. The reversal of 9993023451312 is 2131543203999.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386833 + ... + 4487280.

Almost surely, 29993023451312 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 9993023451312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227948191576).

9993023451312 is an abundant number, since it is smaller than the sum of its proper divisors (18462872931840).

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

9993023451312 is a wasteful number, since it uses less digits than its factorization.

9993023451312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874499 (or 4874482 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The spelling of 9993023451312 in words is "nine trillion, nine hundred ninety-three billion, twenty-three million, four hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 353 363 484 528 706 726 968 1059 1412 1452 1936 2118 2824 2904 3883 4236 5648 5808 7766 8472 11649 15532 16944 23298 31064 42713 46596 62128 85426 93192 128139 170852 186384 256278 341704 512556 683408 1025112 2050224 4874113 9748226 14622339 19496452 29244678 38992904 53615243 58489356 77985808 107230486 116978712 160845729 214460972 233957424 321691458 428921944 589767673 643382916 857843888 1179535346 1286765832 1720561889 1769303019 2359070692 2573531664 3441123778 3538606038 4718141384 5161685667 6882247556 7077212076 9436282768 10323371334 13764495112 14154424152 18926180779 20646742668 27528990224 28308848304 37852361558 41293485336 56778542337 75704723116 82586970672 113557084674 151409446232 208187988569 227114169348 302818892464 416375977138 454228338696 624563965707 832751954276 908456677392 1249127931414 1665503908552 2498255862828 3331007817104 4996511725656 9993023451312