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5412476160 = 283357131721
BaseRepresentation
bin1010000101001101…
…11101010100000000
3111222012112021111000
411002212331110000
542041043214120
62253024052000
7251061200610
oct50246752400
914865467430
105412476160
1123282244a3
121070764000
1368344ab20
14394b92a40
1521a281990
hex1429bd500

5412476160 has 576 divisors, whose sum is σ = 23652840960. Its totient is φ = 1141309440.

The previous prime is 5412476141. The next prime is 5412476183. The reversal of 5412476160 is 616742145.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 3144100 + ... + 3145820.

It is an arithmetic number, because the mean of its divisors is an integer number (41063960).

Almost surely, 25412476160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5412476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11826420480).

5412476160 is an abundant number, since it is smaller than the sum of its proper divisors (18240364800).

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

5412476160 is a wasteful number, since it uses less digits than its factorization.

5412476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5412476160 is about 73569.5328243968. The cubic root of 5412476160 is about 1755.7607338274.

The spelling of 5412476160 in words is "five billion, four hundred twelve million, four hundred seventy-six thousand, one hundred sixty".