Search a number
-
+
212020020001248 = 2536773262247969
BaseRepresentation
bin110000001101010011000001…
…111110100011100111100000
31000210200220201201212121011120
4300031103001332203213200
5210242214000110014443
62030532352541412240
762441640513456564
oct6015230176434740
91023626651777146
10212020020001248
1161613204a38428
121b942a9786a080
13913c52c53a244
143a4db764136a4
15197a1d987c083
hexc0d4c1fa39e0

212020020001248 has 48 divisors (see below), whose sum is σ = 557374639162320. Its totient is φ = 70568948043776.

The previous prime is 212020020001247. The next prime is 212020020001343. The reversal of 212020020001248 is 842100020020212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212020020001247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1631058993 + ... + 1631188976.

It is an arithmetic number, because the mean of its divisors is an integer number (11611971649215).

Almost surely, 2212020020001248 is an apocalyptic number.

It is an amenable number.

212020020001248 is an abundant number, since it is smaller than the sum of its proper divisors (345354619161072).

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

212020020001248 is a wasteful number, since it uses less digits than its factorization.

212020020001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262248659 (or 3262248651 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 212020020001248 in words is "two hundred twelve trillion, twenty billion, twenty million, one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 677 1354 2031 2708 4062 5416 8124 10832 16248 21664 32496 64992 3262247969 6524495938 9786743907 13048991876 19573487814 26097983752 39146975628 52195967504 78293951256 104391935008 156587902512 313175805024 2208541875013 4417083750026 6625625625039 8834167500052 13251251250078 17668335000104 26502502500156 35336670000208 53005005000312 70673340000416 106010010000624 212020020001248