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10064046001 = 29212179833
BaseRepresentation
bin10010101111101110…
…10010011110110001
3221222101021111201111
421113313102132301
5131102343433001
64342351233321
7504252656662
oct112767223661
927871244644
1010064046001
1142a4989799
121b4a518841
13c45052c09
146b6875369
153dd80e851
hex257dd27b1

10064046001 has 12 divisors (see below), whose sum is σ = 10432674252. Its totient is φ = 9708038144.

The previous prime is 10064045993. The next prime is 10064046023.

10064046001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 24206400 + 10039839601 = 4920^2 + 100199^2 .

It is not a de Polignac number, because 10064046001 - 23 = 10064045993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10064646001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018581 + ... + 1028413.

It is an arithmetic number, because the mean of its divisors is an integer number (869389521).

Almost surely, 210064046001 is an apocalyptic number.

It is an amenable number.

10064046001 is a deficient number, since it is larger than the sum of its proper divisors (368628251).

10064046001 is an equidigital number, since it uses as much as digits as its factorization.

10064046001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11108 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 100640 and 46001, that added together give a palindrome (146641).

The spelling of 10064046001 in words is "ten billion, sixty-four million, forty-six thousand, one".

Divisors: 1 29 841 1217 9833 35293 285157 1023497 8269553 11966761 347036069 10064046001