Search a number
-
+
378650213231472 = 24347138231390067
BaseRepresentation
bin101011000011000010101111…
…1011101000010101101110000
31211122200121101101212021020000
41112012011133131002231300
5344112301114041401342
63421153301225550000
7142520401161436260
oct12606053735025560
91748617341767200
10378650213231472
11aa716720a84386
1236574b46345300
131333873c63a850
146970aa79797a0
152db986359c44c
hex158615f742b70

378650213231472 has 400 divisors, whose sum is σ = 1348996342374912. Its totient is φ = 99851403870720.

The previous prime is 378650213231467. The next prime is 378650213231473. The reversal of 378650213231472 is 274132312056873.

It is a happy number.

378650213231472 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 5 + 0 + 2 + 132 + 31 + 472 = 666.

It is a super-4 number, since 4×3786502132314724 (a number of 59 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (378650213231473) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 970536183 + ... + 970926249.

Almost surely, 2378650213231472 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 378650213231472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674498171187456).

378650213231472 is an abundant number, since it is smaller than the sum of its proper divisors (970346129143440).

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

378650213231472 is a wasteful number, since it uses less digits than its factorization.

378650213231472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398338 (or 398323 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 378650213231472 in words is "three hundred seventy-eight trillion, six hundred fifty billion, two hundred thirteen million, two hundred thirty-one thousand, four hundred seventy-two".