Search a number
-
+
15164666454000 = 243537564164007
BaseRepresentation
bin1101110010101100110010…
…0011101001111111110000
31222200201122200022221201010
43130223030203221333300
53441424214103012000
652130315051110520
73123416400023010
oct334531443517760
958621580287633
1015164666454000
114917331964698
12184b020142440
138600391a318b
143a5d8c063c40
151b4703b1ed50
hexdcacc8e9ff0

15164666454000 has 320 divisors, whose sum is σ = 55886075062272. Its totient is φ = 3465540864000.

The previous prime is 15164666453929. The next prime is 15164666454011. The reversal of 15164666454000 is 45466646151.

It is a super-2 number, since 2×151646664540002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236889997 + ... + 236954003.

Almost surely, 215164666454000 is an apocalyptic number.

15164666454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15164666454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27943037531136).

15164666454000 is an abundant number, since it is smaller than the sum of its proper divisors (40721408608272).

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

15164666454000 is a wasteful number, since it uses less digits than its factorization.

15164666454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69681 (or 69665 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 15164666454000 in words is "fifteen trillion, one hundred sixty-four billion, six hundred sixty-six million, four hundred fifty-four thousand".