Search a number
-
+
399978371097396 = 2233713311801728947
BaseRepresentation
bin101101011110001110011100…
…0101110100010001100110100
31221110012120002101200000121000
41122330130320232202030310
5404411221201000104041
63534403305500323300
7150151324622200260
oct13274347056421464
91843176071600530
10399978371097396
11106499969084a83
1238a3a5a3243530
1314224a4c55aa30
1470ab0b0ca70a0
15313954e3a4bb6
hex16bc738ba2334

399978371097396 has 384 divisors, whose sum is σ = 1318188042321920. Its totient is φ = 102029113728000.

The previous prime is 399978371097379. The next prime is 399978371097439. The reversal of 399978371097396 is 693790173879993.

It is a happy number.

399978371097396 is a `hidden beast` number, since 3 + 9 + 9 + 97 + 8 + 37 + 10 + 97 + 396 = 666.

It is a super-3 number, since 3×3999783710973963 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 548342595 + ... + 549071541.

Almost surely, 2399978371097396 is an apocalyptic number.

399978371097396 is a gapful number since it is divisible by the number (36) 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 399978371097396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659094021160960).

399978371097396 is an abundant number, since it is smaller than the sum of its proper divisors (918209671224524).

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

399978371097396 is a wasteful number, since it uses less digits than its factorization.

399978371097396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730812 (or 730804 counting only the distinct ones).

The product of its (nonzero) digits is 26248933872, while the sum is 90.

The spelling of 399978371097396 in words is "three hundred ninety-nine trillion, nine hundred seventy-eight billion, three hundred seventy-one million, ninety-seven thousand, three hundred ninety-six".