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10497942432 = 2532250314563
BaseRepresentation
bin10011100011011100…
…11110001110100000
31000002121201201201200
421301232132032200
5132444433124212
64453411201200
7521102016105
oct116156361640
930077651650
1010497942432
1144a78a658a
12204b8a6200
13cb3c01b73
14718340aac
1541696b6dc
hex271b9e3a0

10497942432 has 72 divisors (see below), whose sum is σ = 29867501664. Its totient is φ = 3497675904.

The previous prime is 10497942431. The next prime is 10497942443. The reversal of 10497942432 is 23424979401.

10497942432 is a `hidden beast` number, since 104 + 9 + 79 + 42 + 432 = 666.

10497942432 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 (72).

It is a super-2 number, since 2×104979424322 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10497942431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713583 + ... + 728145.

It is an arithmetic number, because the mean of its divisors is an integer number (414826412).

Almost surely, 210497942432 is an apocalyptic number.

10497942432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10497942432 is an abundant number, since it is smaller than the sum of its proper divisors (19369559232).

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

10497942432 is a wasteful number, since it uses less digits than its factorization.

10497942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17082 (or 17071 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10497942432 in words is "ten billion, four hundred ninety-seven million, nine hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2503 5006 7509 10012 14563 15018 20024 22527 29126 30036 40048 43689 45054 58252 60072 80096 87378 90108 116504 120144 131067 174756 180216 233008 240288 262134 349512 360432 466016 524268 699024 720864 1048536 1398048 2097072 4194144 36451189 72902378 109353567 145804756 218707134 291609512 328060701 437414268 583219024 656121402 874828536 1166438048 1312242804 1749657072 2624485608 3499314144 5248971216 10497942432