Search a number
-
+
51354411030 = 232513229191671
BaseRepresentation
bin101111110100111101…
…100010000000010110
311220112222101101021100
4233310331202000112
51320133212123110
635331503130530
73465416201646
oct576475420026
9156488341240
1051354411030
111a86325410a
129b525a3a46
134ac5548a80
1426b2576526
151508731bc0
hexbf4f62016

51354411030 has 96 divisors (see below), whose sum is σ = 144421018560. Its totient is φ = 12585818880.

The previous prime is 51354411023. The next prime is 51354411037. The reversal of 51354411030 is 3011445315.

It is a happy number.

51354411030 is a `hidden beast` number, since 5 + 1 + 3 + 544 + 110 + 3 + 0 = 666.

51354411030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51354411023) and next prime (51354411037).

It is a junction number, because it is equal to n+sod(n) for n = 51354410985 and 51354411003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51354411037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172095 + ... + 363765.

It is an arithmetic number, because the mean of its divisors is an integer number (1504385610).

Almost surely, 251354411030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51354411030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72210509280).

51354411030 is an abundant number, since it is smaller than the sum of its proper divisors (93066607530).

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

51354411030 is a wasteful number, since it uses less digits than its factorization.

51354411030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191926 (or 191923 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 51354411030 its reverse (3011445315), we get a palindrome (54365856345).

The spelling of 51354411030 in words is "fifty-one billion, three hundred fifty-four million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 229 234 390 458 585 687 1145 1170 1374 2061 2290 2977 3435 4122 5954 6870 8931 10305 14885 17862 20610 26793 29770 44655 53586 89310 133965 191671 267930 383342 575013 958355 1150026 1725039 1916710 2491723 2875065 3450078 4983446 5750130 7475169 8625195 12458615 14950338 17250390 22425507 24917230 37375845 43892659 44851014 74751690 87785318 112127535 131677977 219463295 224255070 263355954 395033931 438926590 570604567 658389885 790067862 1141209134 1316779770 1711813701 1975169655 2853022835 3423627402 3950339310 5135441103 5706045670 8559068505 10270882206 17118137010 25677205515 51354411030