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10487150640 = 2432514565487
BaseRepresentation
bin10011100010001010…
…10011100000110000
31000001212102110011200
421301011103200300
5132434202310030
64452344011200
7520611211131
oct116105234060
930055373150
1010487150640
1144a17a554a
122048160b00
13cb18c3aa5
14716b31c88
15415a38d60
hex271153830

10487150640 has 60 divisors (see below), whose sum is σ = 35219349984. Its totient is φ = 2796573312.

The previous prime is 10487150627. The next prime is 10487150647. The reversal of 10487150640 is 4605178401.

It is a happy number.

10487150640 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 1 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10487150595 and 10487150604.

It is not an unprimeable number, because it can be changed into a prime (10487150647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7282024 + ... + 7283463.

Almost surely, 210487150640 is an apocalyptic number.

10487150640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10487150640 is an abundant number, since it is smaller than the sum of its proper divisors (24732199344).

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

10487150640 is a wasteful number, since it uses less digits than its factorization.

10487150640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565506 (or 14565497 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10487150640 in words is "ten billion, four hundred eighty-seven million, one hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14565487 29130974 43696461 58261948 72827435 87392922 116523896 131089383 145654870 174785844 218482305 233047792 262178766 291309740 349571688 436964610 524357532 582619480 655446915 699143376 873929220 1048715064 1165238960 1310893830 1747858440 2097430128 2621787660 3495716880 5243575320 10487150640