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47344030864 = 24131727310789
BaseRepresentation
bin101100000101111011…
…001001010010010000
311112012111010221220121
4230011323021102100
51233430032441424
633425522520024
73264141423334
oct540573112220
9145174127817
1047344030864
1119095520139
129213506014
134606731760
142411abd7c4
15137160aee4
hexb05ec9490

47344030864 has 120 divisors (see below), whose sum is σ = 106385213480. Its totient is φ = 20282130432.

The previous prime is 47344030861. The next prime is 47344030879. The reversal of 47344030864 is 46803044374.

It can be written as a sum of positive squares in 12 ways, for example, as 3671390464 + 43672640400 = 60592^2 + 208980^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47344030864.

It is not an unprimeable number, because it can be changed into a prime (47344030861) 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, 4382782 + ... + 4393570.

Almost surely, 247344030864 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 47344030864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53192606740).

47344030864 is an abundant number, since it is smaller than the sum of its proper divisors (59041182616).

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

47344030864 is a wasteful number, since it uses less digits than its factorization.

47344030864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 47344030864 in words is "forty-seven billion, three hundred forty-four million, thirty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 73 104 136 146 208 221 272 289 292 442 578 584 884 949 1156 1168 1241 1768 1898 2312 2482 3536 3757 3796 4624 4964 7514 7592 9928 10789 15028 15184 16133 19856 21097 21578 30056 32266 42194 43156 60112 64532 84388 86312 129064 140257 168776 172624 183413 258128 274261 280514 337552 366826 548522 561028 733652 787597 1097044 1122056 1467304 1575194 2194088 2244112 2384369 2934608 3118021 3150388 4388176 4768738 6236042 6300776 9537476 10238761 12472084 12601552 13389149 19074952 20477522 24944168 26778298 38149904 40534273 40955044 49888336 53556596 81068546 81910088 107113192 162137092 163820176 174058937 214226384 227615533 324274184 348117874 455231066 648548368 696235748 910462132 1392471496 1820924264 2784942992 2959001929 3641848528 5918003858 11836007716 23672015432 47344030864