Search a number
-
+
379178204352 = 263171073892791
BaseRepresentation
bin1011000010010001100…
…10000011110011000000
31100020201120200120001020
411201020302003303000
522203024110014402
6450105252505440
736252250362303
oct5411062036300
91306646616036
10379178204352
11136899236122
12615a201b280
13299aa91bcbc
14144d0abab3a
159ce394c8bc
hex5848c83cc0

379178204352 has 224 divisors, whose sum is σ = 1075325621760. Its totient is φ = 117501050880.

The previous prime is 379178204329. The next prime is 379178204441. The reversal of 379178204352 is 253402871973.

It is a super-2 number, since 2×3791782043522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 379178204295 and 379178204304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135856077 + ... + 135858867.

Almost surely, 2379178204352 is an apocalyptic number.

379178204352 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 379178204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537662810880).

379178204352 is an abundant number, since it is smaller than the sum of its proper divisors (696147417408).

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

379178204352 is a wasteful number, since it uses less digits than its factorization.

379178204352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 379178204352 in words is "three hundred seventy-nine billion, one hundred seventy-eight million, two hundred four thousand, three hundred fifty-two".