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10001494944 = 2532717292347
BaseRepresentation
bin10010101000010001…
…01011001110100000
3221211000120120210200
421110020223032200
5130440340314234
64332234425200
7502563206250
oct112410531640
927730516720
1010001494944
114272646201
121b31592200
13c350c1a5c
146ac431960
153d80a5d99
hex25422b3a0

10001494944 has 432 divisors, whose sum is σ = 35747345088. Its totient is φ = 2589253632.

The previous prime is 10001494933. The next prime is 10001494967. The reversal of 10001494944 is 44949410001.

It is a super-2 number, since 2×100014949442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10001494899 and 10001494908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28822579 + ... + 28822925.

It is an arithmetic number, because the mean of its divisors is an integer number (82748484).

Almost surely, 210001494944 is an apocalyptic number.

10001494944 is a gapful number since it is divisible by the number (14) 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 10001494944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873672544).

10001494944 is an abundant number, since it is smaller than the sum of its proper divisors (25745850144).

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

10001494944 is a wasteful number, since it uses less digits than its factorization.

10001494944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10001494944 in words is "ten billion, one million, four hundred ninety-four thousand, nine hundred forty-four".