Search a number
-
+
15068669040 = 2432520928707
BaseRepresentation
bin11100000100010100…
…11010010001110000
31102220011100200220100
432002022122101300
5221330034402130
610531125512400
71042262400465
oct160212322160
942804320810
1015068669040
116432964097
122b06572700
131561b3cb19
14a2d3bb66c
155d2d7ac60
hex38229a470

15068669040 has 60 divisors (see below), whose sum is σ = 50605615944. Its totient is φ = 4018311552.

The previous prime is 15068669003. The next prime is 15068669053. The reversal of 15068669040 is 4096686051.

15068669040 is a `hidden beast` number, since 1 + 506 + 86 + 69 + 0 + 4 + 0 = 666.

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

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 10463634 + ... + 10465073.

Almost surely, 215068669040 is an apocalyptic number.

15068669040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15068669040 is an abundant number, since it is smaller than the sum of its proper divisors (35536946904).

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

15068669040 is a wasteful number, since it uses less digits than its factorization.

15068669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20928726 (or 20928717 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 15068669040 in words is "fifteen billion, sixty-eight million, six hundred sixty-nine thousand, 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 20928707 41857414 62786121 83714828 104643535 125572242 167429656 188358363 209287070 251144484 313930605 334859312 376716726 418574140 502288968 627861210 753433452 837148280 941791815 1004577936 1255722420 1506866904 1674296560 1883583630 2511444840 3013733808 3767167260 5022889680 7534334520 15068669040