Search a number
-
+
1127606854374 = 23271113437319937
BaseRepresentation
bin10000011010001010100…
…110110010001011100110
310222210112212020021110200
4100122022212302023212
5121433314323314444
62222003200131330
7144316102055310
oct20321246621346
93883485207420
101127606854374
113a5240744320
12162655306b46
1382443414570
143c80db587b0
151e4e9459969
hex1068a9b22e6

1127606854374 has 384 divisors, whose sum is σ = 3402748597248. Its totient is φ = 260437524480.

The previous prime is 1127606854343. The next prime is 1127606854399. The reversal of 1127606854374 is 4734586067211.

1127606854374 is a `hidden beast` number, since 1 + 1 + 27 + 6 + 0 + 6 + 8 + 543 + 74 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1127606854374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56548534 + ... + 56568470.

It is an arithmetic number, because the mean of its divisors is an integer number (8861324472).

Almost surely, 21127606854374 is an apocalyptic number.

1127606854374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127606854374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701374298624).

1127606854374 is an abundant number, since it is smaller than the sum of its proper divisors (2275141742874).

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

1127606854374 is a wasteful number, since it uses less digits than its factorization.

1127606854374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20092 (or 20089 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1127606854374 in words is "one trillion, one hundred twenty-seven billion, six hundred six million, eight hundred fifty-four thousand, three hundred seventy-four".