Search a number
-
+
73761307004140 = 22572412186167961
BaseRepresentation
bin10000110001010111100100…
…100000001000110011101100
3100200011111211022022221100121
4100301113210200020303230
534132001124043113030
6420513250542134324
721352035643453060
oct2061274440106354
9320144738287317
1073761307004140
1121558aa393a068
1283335285813a4
13322087a14ba42
1414300cdd3baa0
1587da7a66a47a
hex4315e4808cec

73761307004140 has 48 divisors (see below), whose sum is σ = 177761689326144. Its totient is φ = 25184654899200.

The previous prime is 73761307003987. The next prime is 73761307004141. The reversal of 73761307004140 is 4140070316737.

It is not an unprimeable number, because it can be changed into a prime (73761307004141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1093050241 + ... + 1093117720.

It is an arithmetic number, because the mean of its divisors is an integer number (3703368527628).

Almost surely, 273761307004140 is an apocalyptic number.

73761307004140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73761307004140 is an abundant number, since it is smaller than the sum of its proper divisors (104000382322004).

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

73761307004140 is a wasteful number, since it uses less digits than its factorization.

73761307004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186168218 (or 2186168216 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 73761307004140 in words is "seventy-three trillion, seven hundred sixty-one billion, three hundred seven million, four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 482 964 1205 1687 2410 3374 4820 6748 8435 16870 33740 2186167961 4372335922 8744671844 10930839805 15303175727 21861679610 30606351454 43723359220 61212702908 76515878635 153031757270 306063514540 526866478601 1053732957202 2107465914404 2634332393005 3688065350207 5268664786010 7376130700414 10537329572020 14752261400828 18440326751035 36880653502070 73761307004140