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51221012024 = 23721310319749
BaseRepresentation
bin101111101101000000…
…101001111000111000
311220012200101000020102
4233231000221320320
51314400034341044
635310340014532
73462206263400
oct575500517070
9156180330212
1051221012024
111a7a4a204a6
129b15991448
134aa3a10150
14269c96d800
1514ebb8124e
hexbed029e38

51221012024 has 96 divisors (see below), whose sum is σ = 120442140000. Its totient is φ = 20241527040.

The previous prime is 51221012023. The next prime is 51221012071. The reversal of 51221012024 is 42021012215.

51221012024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51221011987 and 51221012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51221012023) 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, 5249102 + ... + 5258850.

It is an arithmetic number, because the mean of its divisors is an integer number (1254605625).

Almost surely, 251221012024 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 51221012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60221070000).

51221012024 is an abundant number, since it is smaller than the sum of its proper divisors (69221127976).

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

51221012024 is a wasteful number, since it uses less digits than its factorization.

51221012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 51221012024 its reverse (42021012215), we get a palindrome (93242024239).

The spelling of 51221012024 in words is "fifty-one billion, two hundred twenty-one million, twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1031 1274 2062 2548 4124 5096 7217 8248 9749 13403 14434 19498 26806 28868 38996 50519 53612 57736 68243 77992 93821 101038 107224 126737 136486 187642 202076 253474 272972 375284 404152 477701 506948 545944 656747 750568 887159 955402 1013896 1313494 1774318 1910804 2626988 3548636 3821608 5253976 6210113 7097272 10051219 12420226 20102438 24840452 40204876 49680904 70358533 80409752 130665847 140717066 261331694 281434132 492509731 522663388 562868264 914660929 985019462 1045326776 1829321858 1970038924 3658643716 3940077848 6402626503 7317287432 12805253006 25610506012 51221012024