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51055151600 = 24522341135353
BaseRepresentation
bin101111100011000111…
…111100100111110000
311212210010021102111202
4233203013330213300
51314030104322400
635242053030332
73455123425325
oct574307744760
9155703242452
1051055151600
111a71a336072
129a8a3253a8
134a7854a09b
142684916b4c
1514dc31c4d5
hexbe31fc9f0

51055151600 has 120 divisors (see below), whose sum is σ = 131115795552. Its totient is φ = 19057561600.

The previous prime is 51055151599. The next prime is 51055151603. The reversal of 51055151600 is 615155015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51055151603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309524 + ... + 444876.

Almost surely, 251055151600 is an apocalyptic number.

51055151600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51055151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65557897776).

51055151600 is an abundant number, since it is smaller than the sum of its proper divisors (80060643952).

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

51055151600 is a wasteful number, since it uses less digits than its factorization.

51055151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135435 (or 135424 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 51055151600 in words is "fifty-one billion, fifty-five million, one hundred fifty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 41 46 50 80 82 92 100 115 164 184 200 205 230 328 368 400 410 460 575 656 820 920 943 1025 1150 1640 1840 1886 2050 2300 3280 3772 4100 4600 4715 7544 8200 9200 9430 15088 16400 18860 23575 37720 47150 75440 94300 135353 188600 270706 377200 541412 676765 1082824 1353530 2165648 2707060 3113119 3383825 5414120 5549473 6226238 6767650 10828240 11098946 12452476 13535300 15565595 22197892 24904952 27070600 27747365 31131190 44395784 49809904 54141200 55494730 62262380 77827975 88791568 110989460 124524760 127637879 138736825 155655950 221978920 249049520 255275758 277473650 311311900 443957840 510551516 554947300 622623800 638189395 1021103032 1109894600 1245247600 1276378790 2042206064 2219789200 2552757580 3190946975 5105515160 6381893950 10211030320 12763787900 25527575800 51055151600