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51420030032 = 247361269571
BaseRepresentation
bin101111111000110111…
…110110010001010000
311220201112212011121202
4233320313312101100
51320302011430112
635342205410332
73500144021000
oct577067662120
9156645764552
1051420030032
111a8972a2698
129b705699a8
134b06012497
1426bb178000
15150e3946c2
hexbf8df6450

51420030032 has 160 divisors (see below), whose sum is σ = 118733472000. Its totient is φ = 21557491200.

The previous prime is 51420030031. The next prime is 51420030037. The reversal of 51420030032 is 23003002415.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51420029986 and 51420030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51420030031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90052307 + ... + 90052877.

It is an arithmetic number, because the mean of its divisors is an integer number (742084200).

Almost surely, 251420030032 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 51420030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59366736000).

51420030032 is an abundant number, since it is smaller than the sum of its proper divisors (67313441968).

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

51420030032 is a wasteful number, since it uses less digits than its factorization.

51420030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 51420030032 its reverse (23003002415), we get a palindrome (74423032447).

The spelling of 51420030032 in words is "fifty-one billion, four hundred twenty million, thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 244 269 343 392 427 488 538 571 686 784 854 976 1076 1142 1372 1708 1883 2152 2284 2744 2989 3416 3766 3997 4304 4568 5488 5978 6832 7532 7994 9136 11956 13181 15064 15988 16409 20923 23912 26362 27979 30128 31976 32818 34831 41846 47824 52724 55958 63952 65636 69662 83692 92267 105448 111916 114863 131272 139324 153599 167384 184534 195853 210896 223832 229726 243817 262544 278648 307198 334768 369068 391706 447664 459452 487634 557296 614396 738136 783412 804041 918904 975268 1075193 1228792 1476272 1566824 1608082 1706719 1837808 1950536 2150386 2457584 3133648 3216164 3413438 3901072 4300772 5628287 6432328 6826876 7526351 8601544 9369539 11256574 11947033 12864656 13653752 15052702 17203088 18739078 22513148 23894066 27307504 30105404 37478156 45026296 47788132 52684457 60210808 65586773 74956312 90052592 95576264 105368914 120421616 131173546 149912624 191152528 210737828 262347092 421475656 459107411 524694184 842951312 918214822 1049388368 1836429644 3213751877 3672859288 6427503754 7345718576 12855007508 25710015016 51420030032