Search a number
-
+
10136546028 = 2232740224389
BaseRepresentation
bin10010111000010111…
…10110101011101100
3222011102200220001200
421130023312223230
5131224423433103
64353501205500
7506123135220
oct113413665354
928142626050
1010136546028
1143318a8074
121b6a860890
13c5708863b
146c2348780
153e4d810a3
hex25c2f6aec

10136546028 has 36 divisors (see below), whose sum is σ = 29283355920. Its totient is φ = 2896155936.

The previous prime is 10136546027. The next prime is 10136546029. The reversal of 10136546028 is 82064563101.

It is a happy number.

10136546028 is a `hidden beast` number, since 10 + 1 + 36 + 5 + 4 + 602 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10136546027) and next prime (10136546029).

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10136545983 and 10136546001.

It is not an unprimeable number, because it can be changed into a prime (10136546023) 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, 20111943 + ... + 20112446.

Almost surely, 210136546028 is an apocalyptic number.

10136546028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10136546028 is an abundant number, since it is smaller than the sum of its proper divisors (19146809892).

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

10136546028 is a wasteful number, since it uses less digits than its factorization.

10136546028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40224406 (or 40224401 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10136546028 in words is "ten billion, one hundred thirty-six million, five hundred forty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 40224389 80448778 120673167 160897556 241346334 281570723 362019501 482692668 563141446 724039002 844712169 1126282892 1448078004 1689424338 2534136507 3378848676 5068273014 10136546028