Search a number
-
+
74074000006656 = 2933131536126833
BaseRepresentation
bin10000110101111010110010…
…011101010001111000000000
3100201021101221102101022012000
4100311322302131101320000
534202112023000203111
6421313043102304000
721413445526230606
oct2065726235217000
9321241842338160
1074074000006656
1121669674997a91
128384054888000
1332441c0871510
1414412b4b33876
15886c7c338c56
hex435eb2751e00

74074000006656 has 320 divisors, whose sum is σ = 236154832415040. Its totient is φ = 22789666897920.

The previous prime is 74074000006649. The next prime is 74074000006661. The reversal of 74074000006656 is 65660000047047.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2760542616 + ... + 2760569448.

It is an arithmetic number, because the mean of its divisors is an integer number (737983851297).

Almost surely, 274074000006656 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 74074000006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118077416207520).

74074000006656 is an abundant number, since it is smaller than the sum of its proper divisors (162080832408384).

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

74074000006656 is a wasteful number, since it uses less digits than its factorization.

74074000006656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42234 (or 42212 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 74074000006656 in words is "seventy-four trillion, seventy-four billion, six thousand, six hundred fifty-six".