Search a number
-
+
51970478400 = 2632523609061
BaseRepresentation
bin110000011001101011…
…101001000101000000
311222010220121211211100
4300121223221011000
51322413420302100
635512551414400
73516606530511
oct603153510500
9158126554740
1051970478400
1120049a866a5
12a0a4984400
134b9307ba89
142730302a08
151542875400
hexc19ae9140

51970478400 has 126 divisors (see below), whose sum is σ = 184715402222. Its totient is φ = 13858790400.

The previous prime is 51970478381. The next prime is 51970478491. The reversal of 51970478400 is 487407915.

It is a happy number.

51970478400 is a `hidden beast` number, since 51 + 97 + 0 + 478 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4784212224 + 47186266176 = 69168^2 + 217224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1790131 + ... + 1818930.

Almost surely, 251970478400 is an apocalyptic number.

51970478400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51970478400 is an abundant number, since it is smaller than the sum of its proper divisors (132744923822).

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

51970478400 is a wasteful number, since it uses less digits than its factorization.

51970478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609089 (or 3609071 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 51970478400 in words is "fifty-one billion, nine hundred seventy million, four hundred seventy-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 3609061 7218122 10827183 14436244 18045305 21654366 28872488 32481549 36090610 43308732 54135915 57744976 64963098 72181220 86617464 90226525 108271830 115489952 129926196 144362440 162407745 173234928 180453050 216543660 230979904 259852392 270679575 288724880 324815490 346469856 360906100 433087320 519704784 541359150 577449760 649630980 692939712 721812200 812038725 866174640 1039409568 1082718300 1154899520 1299261960 1443624400 1624077450 1732349280 2078819136 2165436600 2598523920 2887248800 3248154900 3464698560 4330873200 5197047840 5774497600 6496309800 8661746400 10394095680 12992619600 17323492800 25985239200 51970478400