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10378944642 = 2311214539839
BaseRepresentation
bin10011010101010001…
…00010000010000010
3222210022211000110010
421222220202002002
5132224002212032
64433520445350
7515125400553
oct115250420202
928708730403
1010378944642
114446709800
122017a79856
13c95369181
1470660632a
1540b2b2ccc
hex26aa22082

10378944642 has 48 divisors (see below), whose sum is σ = 22834546560. Its totient is φ = 3142650720.

The previous prime is 10378944637. The next prime is 10378944661. The reversal of 10378944642 is 24644987301.

It is a junction number, because it is equal to n+sod(n) for n = 10378944591 and 10378944600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049959 + ... + 1059797.

It is an arithmetic number, because the mean of its divisors is an integer number (475719720).

Almost surely, 210378944642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10378944642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11417273280).

10378944642 is an abundant number, since it is smaller than the sum of its proper divisors (12455601918).

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

10378944642 is a wasteful number, since it uses less digits than its factorization.

10378944642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10378944642 in words is "ten billion, three hundred seventy-eight million, nine hundred forty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1453 2906 4359 8718 9839 15983 19678 29517 31966 47949 59034 95898 108229 175813 216458 324687 351626 527439 649374 1054878 1190519 2381038 3571557 7143114 14296067 28592134 42888201 85776402 157256737 314513474 471770211 943540422 1729824107 3459648214 5189472321 10378944642