Search a number
-
+
378200811223872 = 2633721319316173131
BaseRepresentation
bin101010111111110001011110…
…1000000011011101101000000
31211121002122101210200212222000
41111333202331000123231000
5344032420230133130442
63420211015405144000
7142443051445420500
oct12577427500335500
91747078353625860
10378200811223872
11aa56307729652a
1236501a2655b000
1313305250104660
146957034669a00
152dacd0ea81d4c
hex157f8bd01bb40

378200811223872 has 5376 divisors, whose sum is σ = 1571245033881600. Its totient is φ = 88038752256000.

The previous prime is 378200811223861. The next prime is 378200811223909. The reversal of 378200811223872 is 278322118002873.

It is a happy number.

378200811223872 is a `hidden beast` number, since 3 + 78 + 200 + 81 + 1 + 223 + 8 + 72 = 666.

It is a super-2 number, since 2×3782008112238722 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2887029093247 + ... + 2887029093377.

It is an arithmetic number, because the mean of its divisors is an integer number (292270281600).

Almost surely, 2378200811223872 is an apocalyptic number.

378200811223872 is a gapful number since it is divisible by the number (32) 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 378200811223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785622516940800).

378200811223872 is an abundant number, since it is smaller than the sum of its proper divisors (1193044222657728).

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

378200811223872 is a wasteful number, since it uses less digits than its factorization.

378200811223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 378200811223872 in words is "three hundred seventy-eight trillion, two hundred billion, eight hundred eleven million, two hundred twenty-three thousand, eight hundred seventy-two".