Search a number
-
+
51358678332 = 223132916767979
BaseRepresentation
bin101111110101001101…
…110011110100111100
311220120021102011220120
4233311031303310330
51320140310201312
635332134414540
73465500364033
oct576515636474
9156507364816
1051358678332
111a8656a9205
129b53b01450
134ac63b11c0
1426b2d6771a
151508cc628c
hexbf5373d3c

51358678332 has 96 divisors (see below), whose sum is σ = 134306726400. Its totient is φ = 15166163712.

The previous prime is 51358678313. The next prime is 51358678337. The reversal of 51358678332 is 23387685315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51358678337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721519 + ... + 789497.

It is an arithmetic number, because the mean of its divisors is an integer number (1399028400).

Almost surely, 251358678332 is an apocalyptic number.

51358678332 is a gapful number since it is divisible by the number (52) 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 51358678332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67153363200).

51358678332 is an abundant number, since it is smaller than the sum of its proper divisors (82948048068).

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

51358678332 is a wasteful number, since it uses less digits than its factorization.

51358678332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68195 (or 68193 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 51358678332 in words is "fifty-one billion, three hundred fifty-eight million, six hundred seventy-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 167 174 334 348 377 501 668 754 1002 1131 1508 2004 2171 2262 4342 4524 4843 6513 8684 9686 13026 14529 19372 26052 29058 58116 62959 67979 125918 135958 188877 203937 251836 271916 377754 407874 755508 815748 883727 1767454 1971391 2651181 3534908 3942782 5302362 5914173 7885564 10604724 11352493 11828346 22704986 23656692 25628083 34057479 45409972 51256166 68114958 76884249 102512332 136229916 147582409 153768498 295164818 307536996 329222297 442747227 590329636 658444594 885494454 987666891 1316889188 1770988908 1975333782 3950667564 4279889861 8559779722 12839669583 17119559444 25679339166 51358678332