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900705961953 = 32714296920031
BaseRepresentation
bin11010001101101100100…
…00100100011111100001
310012002212202011122222100
431012312100210133201
5104224121211240303
61525440102401013
7122034222232440
oct15066620443741
93162782148870
10900705961953
11317a95041526
12126690730169
1366c22b05085
1431847072d57
15186694ca8a3
hexd1b64247e1

900705961953 has 12 divisors (see below), whose sum is σ = 1486879683328. Its totient is φ = 514689121080.

The previous prime is 900705961919. The next prime is 900705961957. The reversal of 900705961953 is 359169507009.

It is not a de Polignac number, because 900705961953 - 26 = 900705961889 is a prime.

It is a super-2 number, since 2×9007059619532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 900705961953.

It is not an unprimeable number, because it can be changed into a prime (900705961957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7148459953 + ... + 7148460078.

Almost surely, 2900705961953 is an apocalyptic number.

It is an amenable number.

900705961953 is a deficient number, since it is larger than the sum of its proper divisors (586173721375).

900705961953 is a wasteful number, since it uses less digits than its factorization.

900705961953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14296920044 (or 14296920041 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The spelling of 900705961953 in words is "nine hundred billion, seven hundred five million, nine hundred sixty-one thousand, nine hundred fifty-three".

Divisors: 1 3 7 9 21 63 14296920031 42890760093 100078440217 128672280279 300235320651 900705961953