Search a number
-
+
397908720000 = 2733541116747
BaseRepresentation
bin1011100101001010011…
…01010011100110000000
31102001001221110100011000
411302211031103212000
523004404113020000
6502444032452000
740514356212531
oct5624515234600
91361057410130
10397908720000
1114383010a820
126514a9aa000
132b6a42b455c
141538a546688
15a53d005000
hex5ca5353980

397908720000 has 640 divisors, whose sum is σ = 1601015011200. Its totient is φ = 96456960000.

The previous prime is 397908719969. The next prime is 397908720017. The reversal of 397908720000 is 27809793.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23751627 + ... + 23768373.

It is an arithmetic number, because the mean of its divisors is an integer number (2501585955).

Almost surely, 2397908720000 is an apocalyptic number.

397908720000 is a gapful number since it is divisible by the number (30) 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 397908720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800507505600).

397908720000 is an abundant number, since it is smaller than the sum of its proper divisors (1203106291200).

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

397908720000 is a wasteful number, since it uses less digits than its factorization.

397908720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 397908720000 in words is "three hundred ninety-seven billion, nine hundred eight million, seven hundred twenty thousand".