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50379117984 = 253213117111491
BaseRepresentation
bin101110111010110101…
…000101010110100000
311211001000012100201200
4232322311011112200
51311134023233414
635051023201200
73432304302666
oct567265052640
9154030170650
1050379117984
111a402775aa8
12991ba46200
13499b47c5b0
14261cc1ac36
15149ccd1109
hexbbad455a0

50379117984 has 144 divisors (see below), whose sum is σ = 154431242784. Its totient is φ = 15486681600.

The previous prime is 50379117983. The next prime is 50379117989. The reversal of 50379117984 is 48971197305.

It is a happy number.

50379117984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 50379117984.

It is not an unprimeable number, because it can be changed into a prime (50379117983) 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, 4378479 + ... + 4389969.

It is an arithmetic number, because the mean of its divisors is an integer number (1072439186).

Almost surely, 250379117984 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 50379117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77215621392).

50379117984 is an abundant number, since it is smaller than the sum of its proper divisors (104052124800).

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

50379117984 is a wasteful number, since it uses less digits than its factorization.

50379117984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 50379117984 in words is "fifty billion, three hundred seventy-nine million, one hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1171 1248 1872 2342 3513 3744 4684 7026 9368 10539 11491 14052 15223 18736 21078 22982 28104 30446 34473 37472 42156 45669 45964 56208 60892 68946 84312 91338 91928 103419 112416 121784 137007 137892 149383 168624 182676 183856 206838 243568 274014 275784 298766 337248 365352 367712 413676 448149 487136 548028 551568 597532 730704 827352 896298 1096056 1103136 1195064 1344447 1461408 1654704 1792596 2192112 2390128 2688894 3309408 3585192 4384224 4780256 5377788 7170384 10755576 13455961 14340768 21511152 26911922 40367883 43022304 53823844 80735766 107647688 121103649 161471532 174927493 215295376 242207298 322943064 349854986 430590752 484414596 524782479 645886128 699709972 968829192 1049564958 1291772256 1399419944 1574347437 1937658384 2099129916 2798839888 3148694874 3875316768 4198259832 5597679776 6297389748 8396519664 12594779496 16793039328 25189558992 50379117984