Search a number
-
+
378700230819456 = 27327135368159411
BaseRepresentation
bin101011000011011010000010…
…0101110111111111010000000
31211122212101111012210000000200
41112012310010232333322000
5344114111033042210311
63421232252340245200
7142524121516064040
oct12606640456777200
91748771435700020
10378700230819456
11aa73595866a557
12365827850a0800
1313340380c27b60
146973290767720
152dbacde768556
hex1586d04bbfe80

378700230819456 has 384 divisors, whose sum is σ = 1366536230317440. Its totient is φ = 97992511119360.

The previous prime is 378700230819431. The next prime is 378700230819481. The reversal of 378700230819456 is 654918032007873.

378700230819456 is a `hidden beast` number, since 3 + 7 + 8 + 70 + 0 + 2 + 30 + 81 + 9 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (378700230819431) and next prime (378700230819481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 378700230819393 and 378700230819402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28523610 + ... + 39635801.

It is an arithmetic number, because the mean of its divisors is an integer number (3558688099785).

It is a 2-persistent number, because it is pandigital, and so is 2⋅378700230819456 = 757400461638912, but 3⋅378700230819456 = 1136100692458368 is not.

Almost surely, 2378700230819456 is an apocalyptic number.

378700230819456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378700230819456 is an abundant number, since it is smaller than the sum of its proper divisors (987835999497984).

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

378700230819456 is a wasteful number, since it uses less digits than its factorization.

378700230819456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68159504 (or 68159489 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 378700230819456 in words is "three hundred seventy-eight trillion, seven hundred billion, two hundred thirty million, eight hundred nineteen thousand, four hundred fifty-six".