Search a number
-
+
19896001344 = 263234541669
BaseRepresentation
bin10010100001111001…
…001110001101000000
31220100120211120220200
4102201321032031000
5311221334020334
613050132205200
71303020135552
oct224171161500
956316746820
1019896001344
11848a85731a
123a33169800
131b50c9407b
14d6a5734d2
157b6a76799
hex4a1e4e340

19896001344 has 42 divisors (see below), whose sum is σ = 57028297170. Its totient is φ = 6632000256.

The previous prime is 19896001339. The next prime is 19896001361. The reversal of 19896001344 is 44310069891.

19896001344 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 600 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14227718400 + 5668282944 = 119280^2 + 75288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19896001344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17270259 + ... + 17271410.

Almost surely, 219896001344 is an apocalyptic number.

It is an amenable number.

19896001344 is an abundant number, since it is smaller than the sum of its proper divisors (37132295826).

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

19896001344 is a wasteful number, since it uses less digits than its factorization.

19896001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34541687 (or 34541674 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19896001344 in words is "nineteen billion, eight hundred ninety-six million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 34541669 69083338 103625007 138166676 207250014 276333352 310875021 414500028 552666704 621750042 829000056 1105333408 1243500084 1658000112 2210666816 2487000168 3316000224 4974000336 6632000448 9948000672 19896001344