Search a number
-
+
42798546673920 = 283253715151621
BaseRepresentation
bin10011011101100110100000…
…01010111110000100000000
312121112111112022012222200100
421232303100022332010000
521102202410422031140
6231005214135522400
712005043612221412
oct1156632012760400
9177474468188610
1042798546673920
1112700841929214
12497278a829400
131ab5b6897872b
14a7d66429a9b2
154e344d611530
hex26ecd02be100

42798546673920 has 108 divisors (see below), whose sum is σ = 148078513349676. Its totient is φ = 11412945776640.

The previous prime is 42798546673871. The next prime is 42798546673937. The reversal of 42798546673920 is 2937664589724.

42798546673920 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 8 + 5 + 466 + 73 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14068260589824 + 28730286084096 = 3750768^2 + 5360064^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857564291 + ... + 1857587330.

Almost surely, 242798546673920 is an apocalyptic number.

42798546673920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42798546673920 is an abundant number, since it is smaller than the sum of its proper divisors (105279966675756).

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

42798546673920 is a wasteful number, since it uses less digits than its factorization.

42798546673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715151648 (or 3715151631 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 42798546673920 in words is "forty-two trillion, seven hundred ninety-eight billion, five hundred forty-six million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 3715151621 7430303242 11145454863 14860606484 18575758105 22290909726 29721212968 33436364589 37151516210 44581819452 55727274315 59442425936 66872729178 74303032420 89163638904 111454548630 118884851872 133745458356 148606064840 167181822945 178327277808 222909097260 237769703744 267490916712 297212129680 334363645890 356654555616 445818194520 475539407488 534981833424 594424259360 668727291780 713309111232 891636389040 951078814976 1069963666848 1188848518720 1337454583560 1426618222464 1783272778080 2139927333696 2377697037440 2674909167120 2853236444928 3566545556160 4279854667392 4755394074880 5349818334240 7133091112320 8559709334784 10699636668480 14266182224640 21399273336960 42798546673920