Search a number
-
+
1672935049152 = 26332964152081
BaseRepresentation
bin11000010110000010101…
…100110000011111000000
312220221010201102212101000
4120112002230300133000
5204402132333033102
63320311420012000
7231602614202223
oct30260254603700
95827121385330
101672935049152
11595540249414
12230286691000
13c19ac463663
145ad8303d5ba
152d7b470901c
hex18582b307c0

1672935049152 has 224 divisors, whose sum is σ = 5095744545600. Its totient is φ = 537565593600.

The previous prime is 1672935049141. The next prime is 1672935049187. The reversal of 1672935049152 is 2519405392761.

1672935049152 is a `hidden beast` number, since 1 + 6 + 72 + 9 + 35 + 0 + 491 + 52 = 666.

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 31 ways as a sum of consecutive naturals, for example, 32095752 + ... + 32147832.

Almost surely, 21672935049152 is an apocalyptic number.

1672935049152 is a gapful number since it is divisible by the number (12) 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 1672935049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547872272800).

1672935049152 is an abundant number, since it is smaller than the sum of its proper divisors (3422809496448).

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

1672935049152 is a wasteful number, since it uses less digits than its factorization.

1672935049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52772 (or 52756 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 1672935049152 in words is "one trillion, six hundred seventy-two billion, nine hundred thirty-five million, forty-nine thousand, one hundred fifty-two".