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51350944344 = 2337343145069
BaseRepresentation
bin101111110100110000…
…010011101001011000
311220112201212020212120
4233310300103221120
51320131320204334
635331300541240
73465344553000
oct576460235130
9156481766776
1051350944344
111a8612a6587
129b513b1820
134ac4903b8b
1426b1d13000
151508299949
hexbf4c13a58

51350944344 has 128 divisors (see below), whose sum is σ = 153193920000. Its totient is φ = 14330397312.

The previous prime is 51350944343. The next prime is 51350944349. The reversal of 51350944344 is 44344905315.

51350944344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 51350944296 and 51350944305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51350944343) 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, 281442 + ... + 426510.

It is an arithmetic number, because the mean of its divisors is an integer number (1196827500).

Almost surely, 251350944344 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 51350944344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76596960000).

51350944344 is an abundant number, since it is smaller than the sum of its proper divisors (101842975656).

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

51350944344 is a wasteful number, since it uses less digits than its factorization.

51350944344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145142 (or 145124 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 51350944344 in words is "fifty-one billion, three hundred fifty million, nine hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 343 344 392 516 588 602 686 903 1029 1032 1176 1204 1372 1806 2058 2107 2408 2744 3612 4116 4214 6321 7224 8232 8428 12642 14749 16856 25284 29498 44247 50568 58996 88494 117992 145069 176988 290138 353976 435207 580276 870414 1015483 1160552 1740828 2030966 3046449 3481656 4061932 6092898 6237967 7108381 8123864 12185796 12475934 14216762 18713901 21325143 24371592 24951868 28433524 37427802 42650286 43665769 49758667 49903736 56867048 74855604 85300572 87331538 99517334 130997307 149276001 149711208 170601144 174663076 199034668 261994614 298552002 305660383 349326152 398069336 523989228 597104004 611320766 916981149 1047978456 1194208008 1222641532 1833962298 2139622681 2445283064 3667924596 4279245362 6418868043 7335849192 8558490724 12837736086 17116981448 25675472172 51350944344