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56430920370 = 235113137149087
BaseRepresentation
bin110100100011100010…
…111000001010110010
312101122202201202220210
4310203202320022302
51411032303422440
641531330244550
74035260623506
oct644342701262
9171582652823
1056430920370
1121a28868780
12ab2a726756
1354241b4c56
142a34872306
15170424ca80
hexd238b82b2

56430920370 has 128 divisors (see below), whose sum is σ = 156635430912. Its totient is φ = 12881030400.

The previous prime is 56430920321. The next prime is 56430920387. The reversal of 56430920370 is 7302903465.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303967 + ... + 453053.

It is an arithmetic number, because the mean of its divisors is an integer number (1223714304).

Almost surely, 256430920370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56430920370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78317715456).

56430920370 is an abundant number, since it is smaller than the sum of its proper divisors (100204510542).

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

56430920370 is a wasteful number, since it uses less digits than its factorization.

56430920370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149176.

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 56430920370 in words is "fifty-six billion, four hundred thirty million, nine hundred twenty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 407 465 555 682 814 930 1023 1110 1147 1221 1705 2035 2046 2294 2442 3410 3441 4070 5115 5735 6105 6882 10230 11470 12210 12617 17205 25234 34410 37851 63085 75702 126170 149087 189255 298174 378510 447261 745435 894522 1490870 1639957 2236305 3279914 4472610 4621697 4919871 5516219 8199785 9243394 9839742 11032438 13865091 16399570 16548657 23108485 24599355 27581095 27730182 33097314 46216970 49198710 50838667 55162190 60678409 69325455 82743285 101677334 121356818 138650910 152516001 165486570 171002789 182035227 254193335 303392045 305032002 342005578 364070454 508386670 513008367 606784090 762580005 855013945 910176135 1026016734 1525160010 1710027890 1820352270 1881030679 2565041835 3762061358 5130083670 5643092037 9405153395 11286184074 18810306790 28215460185 56430920370